What is the 21st term of the sequence with a1 = -6 and d = 4?
choices-
74

70

78

-40

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf 74}}[/tex]

Step-by-step explanation:

The nth term of an arithmetic sequence can be found using the following formula.

[tex]a_n=a_1+(n-1)d[/tex]

Where n is the term, a₁ is the first term, and d is the common difference.

We want to find the 21st term, we know the first term is -6, and the common difference is 4.

[tex]n= 21\\a_1= -6 \\d=4[/tex]

Substitute the values into the formula.

[tex]a_{21}=-6+(21-1)4[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve inside the parentheses.

[tex]a_{21}=-6+(20)4[/tex]

Multiply 20 and 4.

[tex]a_{21}= -6+80 \\[/tex]

Add -6 and 80.

[tex]a_{21}=74[/tex]

The 21st term of the sequence is 74

Answer 2

Answer:

SoluTion :-

Here we will use the formula

[tex] \tt \: a_n \: = a_1 +( n - 1)\: \times d[/tex]

[tex] \tt\: a_{21} = −6+(21−1)4[/tex]

By using PEMDAS

[tex] \tt \: a_{21} = - 6 + (20)4[/tex]

[tex] \tt \: a_{21} \: = - 6 + 80 = 74[/tex]

[tex] \huge \tt \bigodot \: \: 74[/tex]


Related Questions

A number minus 14 is more than 35​

Answers

Answer:

False, -14 is less that 35

Step-by-step explanation:

Answer:

x-14>35

Step-by-step explanation:

x-14>35

1. Replace "A number " with x

x minus 14 is more than 35

Minus = subtraction

x-14 is more than 35

Is more than translates to the inequality >

x-14>35

Hope this helps plz hit the crown :D

5x+2=7x-4 what is x and if you can how you did it

Answers

Answer:

x=3

Step-by-step explanation:

2 = 7x−4−5x

2 = 2x−4

2+4 = 2x

6 = 2x

​[tex]\frac{6}{2}[/tex] = x

3 = x

x = 3



I think the answer is X = 3


Store A sells a watch for $50 and offers a 5% discount Store B sells the same watch for $60 and offers a 20% discount. From which store should you buy your
watch and why? Help please!!

Answers

Answer:

You should buy the watch from Store A because it's cheaper

Step-by-step explanation:

Store A sells a watch for $50 with a 5% discount.

Let's calculate the sale price. The 5% discount is

5/100*$50 = $2.50

The sale price is $50 - $2.50 = $47.50

Now for Store B. The price of the watch was $60 with a 20% discount.

Calculate 20% of $60:

20/100*$60 = $12

The sale price is $60 - $12 = $48

Thus, you should buy the watch from Store A because it's cheaper

4÷5/9
pleeeease helpppp

Answers

Answer:

36/5 or 7 1/5

Step-by-step explanation:

4 divided by 5/9

4 x 9/5.        change the divide to multiply & the fraction to the reciprocal

=36/5 or 7 1/5

Ayuda por favorrr lo necesito yaa

Answers

25 bababooey bababooey

If I had 1 banana then I ate that banana how many of the banana would I have hint the peal First person gets brainliest

Answers

Answer:

the peel

Step-by-step explanation:

I'M GIVING OUT BRAINEST!!!
Line m has a slope of -5. What is the slope of a line parallel to line m?

Answers

Answer: -5

Step-by-step explanation:

parallel lines have equal/same slope

A gym owner has some red weights and some purple weights. The red weights are 8 kilograms each, and the purple weights are 3 kilograms each. The owner has 10 weights, and they weigh 55 kilograms in all. How many of each color weight does he have?

Answers

Answer:

7 red weights and 2 purple

Step-by-step explanation:

Answer:

5 purple weights and 5 red weights

Step-by-step explanation:

help i will mark brainly

Answers

Answer:

hey i see that you are on nitro type what is your name

the answer is 2/6

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Find the area of the surface generated by revolving the curve about each given axis.

x = 2t, y = 6t, 0 ≤ t ≤ 9

Answers

I’m not sure I’d this is suppose to be a joke but if it’s not then tell me in the comments

12. Find the values of x and y in the diagram below.

Answers

Answer:

x = 15

y = 19

The value of the x and y are; 11/6, -5 and  18/4 in the linear equation.

What is linear equation?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given parameters;

The equations are;

(4y - 18)

(6x - 11)

(x + 5)​

Now put all equation equal to zero.

Then;

4y - 18 = 0

y = 18/4

And then;

6x - 11 = 0

x = 11/6

And

x + 5 = 0

x = -5.

Hence, In the linear equation, value of the x and y are 11/6, -5 and  18/4.

Learn more about linear equation here;

brainly.com/question/4074386

#SPJ2

The diagram below shows the start and finish diagrams of a construction using a compass and straightedge. Which of the following statements are true about this construction? Select all that apply.

Answers

Answer: 1st and 4th

Step-by-step explanation:

Answer: The answers are the first and fourth one.

Step-by-step explanation: Because of the rules of linear measures

Round each mixed number to the nearest whole number and then estimate the sum.
12 11/14+ 2 5/7

Answers

Answer:

Answer is 10.86

Step-by-step explanation:

12x11/14 + 10/7

=132/14 + 20/14

=152/14

=10.86

Write the expression using exponents.

Answers

Answer:

6v^5

Step-by-step explanation:

you would leave the 6 alone. since there is 5 of the same variable, you would put 5 as your exponent

identify the slope and y-intercept of the function y=-5x+4 (brainlyest to correct answer)

Answers

Answer: A. The slope is -5, and the y-intercept is (0,4)

Step-by-step explanation:

In standard form, a function is written as y = mx + b, where m = slope and b = the y-intercept

With that in mind, the m value is -5 and the b value is 4

Thus, the slope is -5, and the y-intercept is (0,4)

hOw dO I rUn??????????????????????????????????????????????

Answers

how do you run???????

It's like walking but faster, so you go faster like sonic lol.

Help in 2 minutes, please

Answers

history= 70

total = 400

now

student of history in college = student in history÷ total students of history×100%

= 70/400×100%

= 17.5 %. (A)

Simplify: √(√21 -2√7)^2
WILL AWARD BRAINLIEST TO THE CORRECT ANSWER!!

Answers

Answer:

Solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex]

We know that [tex]\sqrt{x} = x^{\frac{1}{2}}[/tex]

Solving:

[tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}\\=((\sqrt{21}-2\sqrt{7} )^2)^\frac{1}{2}[/tex]

We know that [tex](a^2)^\frac{1}{2}=a[/tex]

= [tex]\sqrt{21}-2\sqrt{7}[/tex]

So, solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]

There are 64 species of animals in the metropolitan zoo
5/8 are from North America
1/4 are from Africa
The remaining are from South America
How many species are from South America

Answers

Answer:

8 species are from South America

Step-by-step explanation:

In order to find the answer to this, you need to make the denominators of the North American and African species the same.

To do this, multiply 1/4 x 2/2.

You would then get 2/8. This means 2/8 of the species are African

Since you now have the same denominator, add the fractions together, and the total amount of North American and African species is 7/8, leaving 1/8 for the South American species.

You would then divide 64 by 8 to see how much 1/8 is worth in terms of how many species, and would then get 8.

Please help me please!!

Answers

Answer:

False

Step-by-step explanation:

2x - y = 0

-2x + 2y = 9

Add the equations.

y = 9

(3, 6) is not a solution because in the solution, y = 9.

Answer: False

Answer:

the answer to question 3 is false, and the answer to question 4 is c. (2, 9)

Step-by-step explanation:

they deleted my answer again, anyways i hope this helps! :D

Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.
Question 5 options:

A)

y = 1∕4(x – 3)2 + 2


B)

y = –1∕4 (x – 3)2 + 3


C)

y = –1∕4 (x – 3)2 + 2


D)

y = 1∕4(x – 3)2 + 3

Answers

Answer:

c )  y = –1∕4 (x – 3)2 + 2

Step-by-step explanation:

Answer:

directrix is; y= {-5}

Step-by-step explanation:

Help me with this question ASAP!!!!!!!!!!!!

Answers

Answer:

Yes by AA similarity

Step-by-step explanation:

<ACB is congruent to <ECD by vertical angles, so we have one pair of comgruent angles.

<B is congruent to <CDE because they are both 90 angles, so we have another pair of congruent angles.

Triangle ABC is similar to triangle EDC by AA similarity.

I hope this helps! :)

Help me out here pleaseeeeeeeee

Answers

Answer:

1  1/5

Step-by-step explanation:

1 and 1 fifth as a fraction.

The last one 1 1/5 is the answer ;)

Mai runs around a track at a constant speed of 750 meters in 30 minutes . How many minutes per meter is that? And how many meters can she run in 6 minutes?

Answers

Answer:

25 meters per minute

150 in 6 minutes

Step-by-step explanation:

choose all of the points that are solutions to y = 3x + 2 / 2x - 1.
A.(-2, 4/5)
B.(-1, -5)
C.(0, -2)
D.(0, -2/3)
E.(1, 3/2)
F.(1, 5)
G.(4, 14)

Answers

Answer:

a d f g

Step-by-step explanation:

Answer:

its abfg

Step-by-step explanation:

claudia earns overtime pay when she works more then 40 hours in a week how many hours of overtime pay did she work for the week of march 4​

Answers

Ummmmmm is that all the information that you have about it

Who knows the answer for this question

Answers

Answer: 7

Work: So, the goal is to get z alone, so we are going to add 85 on both sides, cancelling on the side it's currently on. So, the new equation is going to be 25z = 175. Then, to get z even more lonely, we are going to divide 25 on both sides, and again cancelling it on the side it's currently on. So, the answer is z = 7. I hope this helps, and Happy Holidays! :)

Z= 7 because you add 85 to 90 which is 175 and divide it by 25

Y-5=1/3


Helpppp!!!!!!

Answers

Answer:

8

Step-by-step explanation:

You are at a European beach with 60 other visitors. 36 of them speak English. If you randomly meet two people on the beach, what is the probability that they both speak English

Answers

Answer:

Assuming I'm one of the 36 English speakers and the other 24 speak Spanish for illustration purposes.  The problem can be modeled as 59 marbles with 35 E and 24 S marbles as N = 59 possible outcomes = n(E) + n(S) = 35 + 24.

So I reach into the pile of marbles (on the beach) and the probability that it's p(E) = n(E)/N = 35/59 = 0.593220339 when I meet the one person. ANS

I assume I remember that first person; so I remove him from the marbles (by avoiding him on the beach) and now my probability is p(E and E) = n(E)/N * n(E)-1/(N - 1) = 35/59*34/58 = 0.347749854 ANS

Following the same logic p(E and E and E) = 35/59*34/58*33/57 = 0.201328863 ANS

This last one is different from the first three.  This one is p(E >= 1|4 attempts).  We can trace out a probability tree to identify those branches that contain at least one E event.  So:

EEEE p() = 35/59 * 34/58 * 33/57 * 32/56 =  

EEES p() = 35/59 * 34/58 * 33/57 * 24/56 =

EESE p() = 35/59 * 34/58 * 24/57 * 33/56 =

ESEE p() = 35/59 * 24/58 * 34/57 * 33/56 =

SEEE p() = 24/59 * 35/58 * 34/57 * 33/56 =

EESS p() = 35/59 * 34/58 * 24/57 * 23/56 =

ESES p() = 35/59 * 24/58 * 34/57 * 23/56 =

SEES

SESE

SSEE

ESSS  And so on, but...a big BUT...why do all this when

SESS

SSES

SSSE

SSSS

p(E>=1|4) = 1 - p(S and S and S and S) = 1 - 24/59 * 23/58 * 22/57 * 21/56 = 0.976652619   ANS.  In other words we find the probability of not meeting an Englishman and take 1 minus that value to find the probability of meeting at least one.

00

Step-by-step explanation:

Evaluate this expression for a=2 and b=3. (a+5)-b/b-4+2(b+3)/a

Answers

Answer:

16

Step-by-step explanation:

[tex](a+5)-\frac{b}{b-4}+\frac{2(b+3)}{a}\\\\a=2\\\\b=3\\\\(2+5)-\frac{3}{3-4}+\frac{2(3+3)}{2}\\\\=7-\frac{3}{-1}+3+3\\\\=7+3+6\\\\=16[/tex]

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