2,7, 12, ...
Find the 46th term.

Answers

Answer 1

Given is an A.P. in which -

First term,a = 2Common difference = Second term - First term

[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = a_2-a_1[/tex]

[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 7-2 [/tex]

[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 5[/tex]

Solution:-

nth term of an A.P ,is given by-

[tex]\green{ \underline { \boxed{ \sf{a_n =a+(n-1)d }}}}[/tex]

where

[tex]a_n = nth \;term[/tex]a = first termn = number of termd = common difference

Putting n = 46

[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + (46-1)\times 5 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + 45\times 5 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + 225 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf a_{46}= 227 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Therefore, the 46th term is 227

Answer 2

Hence, the [tex]46th[/tex] term is [tex]227[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

[tex]2,7, 12,...[/tex]

Here,

[tex]a=2[/tex]

[tex]d=a_2-a_1\\d=7-2\\d=5[/tex]

The general formula of the sequence is

[tex]a_n=a+(n-1)d[/tex]

where,

[tex]a_n=[/tex] nth term

[tex]a[/tex] is the first term

[tex]d[/tex] is the common difference

[tex]n[/tex] is the number of terms

Now substituting the values in general formula is

[tex]a_{46}=2+(46-1)5\\\\a_{46}=2+(45)5\\\\a_{46}=2+225\\\\a_{46}=227\\[/tex]

Hence, the [tex]46th[/tex] term is [tex]227[/tex].

To know more about the sequence

https://brainly.com/question/28615767

#SPJ2


Related Questions

Find the value of x that makes m || n
x=

Answers

180-73
=107
X would equal 107

PLEASE HELP I HAVE A TEST TOMORROW

Answers

Answer:

a = 12

Step-by-step explanation:

Pythagorean Theorem: A^2 + B^2 = c^2

9^2 + b^2 = 15^2

81 + b^2 = 225

225 - 81 = 144

[tex]\sqrt{144}[/tex] = 12

Have an amazing day!!

Good luck on your test!!

Please rate and mark brainliest!!

Step-by-step explanation:

use the picture as reference and solve accordingly

best of luck for your test

Pls help me! 19 and 20.

Answers

Answer:

See below ↓

Step-by-step explanation:

19.

[tex]\frac{x-1}{2} - \frac{x-3}{5} - \frac{x-7}{10} + \frac{x-2}{5}[/tex][tex]\frac{5(x-1)-2(x-3)-(x-7)+2(x-2)}{10}[/tex][tex]\frac{5x-5-2x+6-x+7+2x-4}{10}[/tex][tex]\frac{4x+4}{10}[/tex][tex]\frac{2x+2}{5}[/tex]

20.

[tex]\frac{2x+3}{2x} + \frac{x+3}{4x} - \frac{18x+6}{8x^{2} }[/tex][tex]\frac{4x(2x+3)+2x(x+3)-(18x+6)}{8x^{2} }[/tex][tex]\frac{8x^{2} +12x+2x^{2} +6x-18x-6}{8x^{2} }[/tex][tex]\frac{10x^{2}-6}{8x^{2} }[/tex][tex]\frac{5x^{2}-3}{4x^{2} }[/tex]

pls pls pls pls pls pls pls

Answers

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

How to determine the inverse, converse and contrapositive

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

Inverse -> If not p , then not q .Converse -> If q , then p .Contrapositive -> If not q , then not p .

Using the above rule, we have:

Statement 1

Inverse: If a parallelogram does not have a right angle, then it is not a rectangle. Converse: If a parallelogram is a rectangle, then it has a right angle.Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

Statement 2

Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent. Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of anotherContrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

https://brainly.com/question/11073037

sin^-1(√3-1/2√2)
please give me answer ​

Answers

use a calculator and the correct answer is 0.019134405

and then round off the that answer into 2 significant number

sin^-1(√3-1/2√2)

please give me answer

I bought a keychain for $6.75 and a T-shirt that cost X dollars each altogether the items cost $31.50 complete the type diagram

Answers

Answer:

24.75

Step-by-step explanation:

keychain=$6.75

t.shirt=X

according to question

X+6.75=31.50

X=24.75

How has the polygon RQTS been translated to produce a polygon with Q’ at (-3, -3)?


shift down 5 units
shift down 6 units
shift down 2 units
shift down 3 units

Answers

Answer: Shift down 3 units

Step-by-step explanation:

From the figure its clear that the existing coordinate of the polygon RQTS are : (−3,0)

Since we have to translate the polygon to (−3,−3)

So:

−3−(−3)=0

−3−(0)=−3

Therefore shift down 3 units is the correct answer

Answer:

shift down 5 units

Step-by-step explanation:

i took the quiz

Identify the value of y
(5y-6) = (2y×9)-32

Answers

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

[tex]\fbox{5y+−6=18y+−32}[/tex]

[tex]\fbox{5y−6=18y−32}[/tex]

Step 2: Subtract 18y from both sides.

[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]

[tex]\fbox{−13y−6=−32}[/tex]

Step 3: Add 6 to both sides.

[tex]\fbox{−13y−6+6=−32+6}[/tex]

[tex]\fbox{−13y=−26}[/tex]

Step 4: Divide both sides by -13.

[tex]\fbox{−13y/−13 = −26/−13}[/tex]

[tex]\fbox{y=2}[/tex]

Answer:

[tex]\fbox{y=\fbox{2}}[/tex]

MATH
NATION
Question 1 of 10
NEXT QUESTION
Suppose h(t) = -0.2t2 + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum?

Answers

Step-by-step explanation:

the point of extreme value we get a the zero dilution of the first derivative of the function.

h(t) = -0.2t² + 2t

h'(t) = -0.4t + 2

so,

-0.4t + 2 = 0

2 = 0.4t

t = 2/0.4 = 5 seconds

so, after 5 seconds the ball reaches its maximum height.

FYI : that height is then h(5).

-0.2×5² + 2×5 = -5 + 10 = 5 ft

so, all in all, a very weak kick in very low gravity ...

4/5 and -4/5 are same or not ​

Answers

Answer:

not

Step-by-step explanation:

Answer:

4/5 and -4/5 are not same because

4/5=

how many blue cars are there

Answers

Answer:

81 blue

54 red

Step-by-step explanation:

let me know if this is helpful!

3x - 12y = 6
x - 4y = 2
solve by elimination

Answers

Answer:

the problem has an infinite number of solutions

Explanation:

3x - 12y = 6x - 4y = 2

make the coefficient of x same by multiplying the entire following by 3

⇒ ( x - 4y = 2 ) * 3⇒ 3x - 12y = 6 __ equation 2

3x - 12y = 6 __ equation 1

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

===========

0

A translation of (x -3, y + 4) means

Answers

Answer:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

Step-by-step explanation:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

I hope it helps :)

Answer link

A translation of (x - 3, y + 4) means that each point in the original graph is moved horizontally by 3 units to the right and vertically by 4 units upward to create a new graph.

How to interpreted the translation

For any point (x, y) on the original graph, the corresponding point (x', y') on the translated graph is obtained by adding:

3 to the x-coordinate and 4 to the y-coordinate:

x' = x - 3

y' = y + 4

This type of translation is also known as a "horizontal translation to the right by 3 units" and a "vertical translation upward by 4 units." The "x - 3" part represents the horizontal movement, and the "y + 4" part represents the vertical movement.

Learn more about translation

https://brainly.com/question/1574635

#SPJ3

HELP PLS IS OVER DUE AND I WANT TO GET THIS DONE RIGHT NOW!

Answers

There are 168 hours in 7 days hope this helps

Answer:

168 hours

Step-by-step explanation:

24 × 7 = 168 hours

So 168 hours in 7 days

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Find the length of the missing side of the right triangle. (Don't put units in your answer.)

Answers

The missing side is the opposite or the adjacent of the right triangle

The length of the missing side is 9.9

How to determine the length of the missing side?

To calculate the length of the missing side, we make use of the following Pythagoras theorem.

16.5^2 = 13.2^2 +a^2

Evaluate the exponents

272.25 = 174.24 +a^2

Collect like terms

a^2 = 272.25 - 174.24

Evaluate the like terms

a^2 = 98.01

Take the square roots of both sides

a = 9.9

Hence, the length of the missing side is 9.9

Read more about right triangles at:

https://brainly.com/question/654982

Annabelle read 10 books in 2 months. What was her rate of reading, in books per month?

Answers

Answer:

5 books per month

Step-by-step explanation:

We are trying to find a rate.

To find books per month, we would take the number of books and divide it by the number of months.

This would give us 10 books/2 months.

10/2 simplifies to 5.

Therefore the answer would be 5 books per month.

Answer:

You need to divide it I don't have a calculator because my mom don't want me to calculate she let me to calculate it on my brain btw please brainless me

Please help! locks in 30 min!

Answers

the answer is -1/2
:)

The answer is the first one!

The price of general admission Twins tickets increased from $7 to $18 when they moved to Target Field. What is the percent increase in the ticket price? Explain how you know

Answers

Answer:

257 1/7%

Step-by-step explanation:

[tex] \frac{18}{7} = 2.57142857[/tex]

2.57142857 = 257 1/7 %

Calculate the capacitance between two parallel plates of area s and separation of d

Answers

What do you mean I don’t understand

The capacitance between two parallel plates of area s and separation of d is;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

What is capacitance?

Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.

The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.

The capacitance between two parallel plates of area s and separation of d is given by the following formula;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.

According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.

To know more about capacitance click the link given below.

https://brainly.com/question/14746225

#SPJ4

Complete the state symbol in the equation. CuCO3+H2SO4(aq)+H2O+CO2

Answers

Answer:

H2O = liquid (l)

CO2 = gas (g)

CuCO3 = solid (s)

Step-by-step explanation:

H2O is water

CO2 is carbon dioxide

CuCO3 is copper carbonate

F(x)=x^2
G(x)=x^2-8x+16
In which direction and by how many units should f(x) be shifted to match g(x)?

Answers

Answer:

  4 units right

Step-by-step explanation:

The question of shifts or other transformations can be more easily answered when the transformed function is written in vertex form.

  g(x) = (x -4)²

Compared to f(x) = x², this is g(x) = f(x-4). That change corresponds to a right-shift of 4 units.

  f(x) should be shifted right 4 to match g(x)

_____

Additional comment

The square of a binomial is (a -b)² = a² -2ab +b². The form of G(x) can be seen to match this form, so we know G(x) can be written as the square shown above.

Which is the solution to the inequality?
y + 15 less-than 3

Answers

Hey there!

"less than" is "<"

y+15<3

Solve it:

y<3-15

y<-12

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

y < -12

Step-by-step explanation:

Edge

Sumalee spent $183 on books. Math books cost $21 and english books cost $26. If she bought a total of 8, then how many of each kind did she buy?

Answers

Math - 5, english - 3
I simply tried the possibilities starting at the bottom and comparing the totals.
I tried: 1, 7 no result; 2, 6; no result; 3, 5; no result; 4, 4; no result; 5, 3 correct

how many milillerters of cholcolat milk are in the container shown

Answers

Insert the image of the chocolate milk container and I’ll be happy to solve

Which transformations are needed to change the parent cosine function to y = 0. 35 cosine (8 (x minus StartFraction pi Over 4 EndFraction))? vertical stretch of 0. 35, horizontal stretch to a period of 16 pi, phase shift of StartFraction pi Over 4 EndFraction units to the right vertical compression of 0. 35, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 4 EndFraction units to the left vertical compression of 0. 35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right vertical stretch of 0. 35, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right.

Answers

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to right

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to right

Learn more about transformation of functions here:

https://brainly.com/question/17006186

Review the work showing the first few steps in writing a partial fraction decomposition.

StartFraction 4 x + 40 Over (x + 2) (x + 6) EndFraction = StartFraction A Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFraction
4x + 40 = A(x + 6) + B(x + 2)
4x + 40 = Ax + 6A + Bx + 2B

What is the partial fraction decomposition in terms of x?

Answers

Answer:

8/(x + 2) - 4/(x + 6)

Step-by-step explanation:

4x + 40 = Ax + 6A + Bx + 2B

Equating coefficients of x

4 = A + B      (1)

Equating constant terms:

40 = 6A + 2B    (2)

Multiply  equation (1) by -2:

-8 = -2A - 2B   .. (3)

Add (2) and (3):

32 = 4A

A = 32/4

A = 8.

4 = 8 + B

B = 4 - 8

B = -4.

The decomposition of the given partial fraction in terms of x is [tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex].

What is partial fraction?

The partial fraction is the result of writing a rational expression as the sum of two or more fractions.

According to the given question.

We have a partial fraction

[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{A}{(x+2)} +\frac{B}{(x+6)}[/tex]

We have to decompose the above partial fraction in terms of x.

The above partial fraction can be written as

[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{A(x+6)+B(x+2)}{(x+2)(x+6)}[/tex]

⇒[tex]4x+40 = A(x+6)+B(x+2)[/tex]

⇒[tex]4x + 40 = Ax + 6A + Bx + 2B[/tex]

⇒[tex]4x + 40 = x(A+B) +6A + 2B...(i)[/tex]

On comparing the coefficient of x and the constant terms.

[tex]A+B = 4..(ii)[/tex]

⇒[tex]A = 4 - B[/tex]

and, [tex]6A+2B = 40..(iii)[/tex]

⇒[tex]2(3A+B) = 40[/tex]

Substitute the value of A in (iii)

⇒[tex]2(3A+B) = 40[/tex]

⇒[tex]3A+B = 20[/tex]

⇒[tex]3(4-B)+B = 20[/tex]

⇒[tex]12 - 3B +B = 20[/tex]

⇒[tex]12 - 2B = 20[/tex]

⇒[tex]-2B = 8[/tex]

⇒[tex]B = -4[/tex]

So, [tex]A = 4-(-4) = 8[/tex]

Substitute the value of A and B in the given partial fraction.

⇒[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex]

Hence, the decomposition of the given partial fraction in terms of x is [tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex].

Find out the more information about the partial fraction here:

https://brainly.com/question/2273342

#SPJ2

Help Anyone please? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Which system represents the statements below?

The sum of two numbers is 10. One number is five times the other.

Answers

Answer:

the answer is c

Step-by-step explanation:

y = 5x

as it says x + y = 10

so one number which is represented as x is times 5 as the other which brimg to our answer y =5x

Solve the simultaneous equations 4 x + 3 y = 25 x + 5 y = 19

Answers

Answer:

x= 4

y=3

Step-by-step explanation:

its simple

4x+3y=25

x+5y=19

by elimination

-17y=-51

so y = 3

substitute y for 3

then x is 4.

I hope this will help you.

What is the area of the following circle?

Answers

Answer:

49pi

Step-by-step explanation:

Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.

P.S: don't cheat in khan my man, that's dishonored

If ∠A > ∠B, then what is the relation between AC and BC?

Answers

Answer:

ab and ac are congruent with each other

Answer:

BC > AC

Step-by-step explanation:

∠A > ∠B (Given)

Side opposite to larger angle is larger and side opposite to smaller angle is smaller.

->AC < BC

or

BC > AC

Other Questions
Write the product as a product of a whole number and a unit fraction 3 * 3/8 Which newspaper headline was most likely published in 1803? Identify two ways in which ancient greek drama differed from modern plays and movies. How to be good at math??? what is y=-2x+5 as standard form What is the purpose of linking text boxes? PLEASE I NEED HELP!!!!!! I"LL GIVE BRAINIEST!!! Not spinning a 5 and flipping tailsBtw the spinner is 1-5 You cook a turkey until the internal temperature reaches 180f. the turkey is placed on the table until the internal temperature reaches 100f, and it can be carved. when the room temperature is 72f, the cooling rate of the turkey is $r=0.067$ . how long do you have to wait until you can carve the turkey? use newton's law of cooling to solve the problem. round your answer to the nearest whole minute. Altitude is the height in relation to sea level. Umar walks from a valley to a hilltop. The valley has an altitude of -32 1/2 feet. The hilltop has an altitude of 85 3/4 feet. What is the altitude change from the valley to the hilltop? What is the area of the circle?12.56 square inches6.28 square inches25.12 square inches3.14 square inches The weight of your science book presses on the desk.A. Gravity pulls on the book.B. Gravity pulls on the desk.C. The desk pushes on the book. its b Because map projections must turn a 3-D world into a 2-D map, they will always have the problem of __________.A.accuracyB.distortionC.estimationD.elevation Jumping rope can help develop better? o visiono hand/foot coordinationo cardiovascular endurance If year boys built 3/14of an igloo and year 3 girl have built 3/7of the same igloo.How much have they built in all?How much is left? Show your working out? Factor the expression using the GCF.4m+32 HELP!!what is 23x+(4-5b) Please solve the first three question with explanation What does lyndon b johnson mean when he says freedom is not enough Please help me !!! I'm having a hard time.