The sum of the firstnith term of series
is given by Sn = n2+ 5 n-6. Find the
general term (tn) and (+20)​

Answers

Answer 1

Answer:

Tn = 2n+4

T20 = 44

Step-by-step explanation:

Given Sn = n²+ 5 n-6

Tn = Sn - Sn-1

Sn-1 = (n-1)² + 5(n-1) - 6

Tn = n²+ 5n-6 - ((n-1)² + 5(n-1) - 6))

Tn = n²+ 5n-6-(n²-2n+1+5n-5-6)

Tn = n²+ 5n-6-n²+2n-1-5n+5+6

Tn = 2n-7+11

Tn = 2n+4

Get the general term is 2n+4

To get the 20th term;

T20 = 2(20) + 4

T20 = 40+4

T20 = 44

Hence the 20th term of the sequence is 44


Related Questions

Please help I need this ASAP

Answers

Answer:

Yes, by SSS

Step-by-step explanation:

They are touching by their hypotenuses in the middle (they are sharing a hypotenuse).  

NP is the corresponding side for QM.  Their measures are both 10.

MN is corresponding to PQ, and both sides equal 18.

pleaseeeee help me i know y'all smart enough for this one‍♀️​

Answers

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x+4−3x=3x+2−3x

−2x+4=2

Step 2: Subtract 4 from both sides.

−2x+4−4=2−4

−2x=−2

Step 3: Divide both sides by -2.

-2x/-2 = -2/-2

triangles ABC and LMN are congruent according to which of the following congruence criteria?

O Angle Side Angle congruence criteria
O Side Side Angle congruence criteria
Side Angle Side congruence criteria
O Side Side Side congruence criteria

Answers

Answer:

Side Side Side congruence criteria

Step-by-step explanation:

As per diagram, the triangles have 3 congruent sides:

AB≅LMAC≅LNBC≅MN

So they are congruent by SSS criteria

if g(x)=8x+1, what is g

Answers

Shauiaiaiaiwiwbrjfoficidhdj

Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

Answer:

∠ JHF = 69°

Step-by-step explanation:

Since HJ is a midline then it is parallel to EG , thus

∠ JHF and ∠ GEH are corresponding and congruent, then

7x + 62 = 79 - 10x ( add 10x to both sides )

17x + 62 = 79 ( subtract 62 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Thus

∠ JHF = 7x + 62 = 7(1) + 62 = 7 + 62 = 69°

Answer:

7x + 62 = 180

7x= 180 - 62

x = 118 / 7

x = 16

7 × x = 7 × 16

112 + 62 = 174

Step-by-step explanation:

HOPE ITS CORRECT..

Please help me out!!!!!

Answers

Answer:

To find a degree 3 equation you must find and take the roots.You have the roots at x=0 Now plug those into the equation for example: (x-4) would result in x1=4Hope this helps!

What is the length of side AD?

Answers

It’s not 10, 11 or 14, so it’s 16

Evaluate the function for f(3).
f(x) = -3x - 8

Answers

Answer:

-17

Step-by-step explanation:

-3(3)-8

-9-8=-17

Answer:

f(3) = - 17

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = - 3(3) - 8 = - 9 - 8 = - 17

At a football game, you bought
x hot dogs for $2.50 each and x candy bars
for $1.50 each. If admission cost $8.50,
write an expression in simplest form that
represents the total spent at the game.

Answers

Answer:

[tex]y=4x+8.5[/tex]

Step-by-step explanation:

[tex]b=8.5[/tex]      the initial cost is $8.5

[tex]m=2.5+1.5[/tex]    the price changes by $4 for every hotdog & candy bar purchased

The final equation is    [tex]y=4x+8.5[/tex]

Answer:

$12.00

Step-by-step explanation:

$8.50 + $2.50 = $10.00 + $1.50 = total $12.00

Which fraction is represented by point A on the number line?
0
A
O-1
win W
1
3

Answers

Answer:

B

Step-by-step explanation:

it is

It’s B.
Because as u can see the line stops at -1. And A looks 1/3 away from from it so therefore it’s -1/3

please helpppp !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:15

Step-by-step explanation: So we have this triangle but it's not a right triangle right so we can't just Pythagorean theorem our way out. So we have to treat the sizes as ratios.  2:12 is the ratio of the smaller triangle. 12 increases to 78 which means side 2 has to increase as well by the same ratio so 78/12 = 6.5 and 6.5*2=13 so PQ is 13 and to find NQ just add NP and PQ or 2+13 = 15

Hope it helps :)

Y=-x+3/2 mathematics question that idk the answer to

Answers

Answer:

Y = 1.50000

X = 1.50000

I don't understand the question, hopefully this is what you are looking for.

#LearnWithBrainly

Simplify (x+3/9) divided by (x+12/6)

Answers

Answer:

b

Step-by-step explanation:

in standard form is 63,029

Answers

60,000 + 3,000 + 20 + 9

Answer:

60000 + 3000 + 29

Step-by-step explanation:

The Standard form of 63029 is

60000 + 3000 + 29

-TheUnknownScientist

Answer I will mark branliest

Answers

Answer:

D 50

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

5y^2+4x

5(3)^2+4(2.5)

5(9)+4(2.5)

45+4(2.5)

45+10

=55

(brainliest for correct answer) write an equation in slope/intercept.

Answers

Answer:

y=-2x+2

Step-by-step explanation:

If cot theta is greater then 0 or sin theta is smaller than 0 then terminal arm of an angle lies in quadrants

Answers

Answer:

4th quadrant

Step-by-step explanation:

Given that:

cot θ > 0  or  sin θ < 0

[tex]cot \theta = \dfrac{1}{tan \theta}[/tex]

where;

[tex]tan \theta = \dfrac{sin \theta}{cos \theta}[/tex]

If [tex]cot \theta = \dfrac{cos \theta}{sin \theta}>0[/tex] or sin θ < 0, then the terminal arm of the angle lies in the 4th quadrant

You are at a trade show where you are selling baseball cards for $4 a car and buyng baseball cards for $6 a card. If you started the day with $200, how much money do you have at the end of the day if you sold c baseball cards and bought b baseball cards?​

Answers

Answer:

He can sell 80 baseball card and buy 120 cards

Step-by-step explanation:

if thats good

i need help with thissss

Answers

Answer:

#4 is option one 18 miles

Step-by-step explanation:

can anyone help and explain how you got the answer

Answers

Answer:

70

Step-by-step explanation:

Because PQ tangent to circle, angle P is 90

angle S = 180 - 90 - 20 = 70

What will be the distance from the center of dilation, P, to the image S'?

2 units
4 units
6 units
8 units

Answers

Answer:

the answer is 6 units..

HELP! Dont judge i really do need help!

Answers

Answer:

A.

Step-by-step explanation:

The coordinates are currently on the top left, which means one of the coordinates are negative. If you look at the chart, you can see that the X-axis is negative, and X is first on a coordinate plane. (X,Y) So, if the negative coordinate is X, and X goes first, then there's no other choice than to choose A, which is the only answer choice that has a negative X-axis in their coordinate plane! Hope this helps!


Find the value of
x
x for the following:


x
=
12
x

=12

Answers

Answer

144

Step-by-step explanation:

12*12=144?

x=12

x=12

then what?


According to the scale on a map, 1 inch on the map = 12 miles. How many miles are represented by 4 inches on the map?

Answers

Answer:

60 miles

Step-by-step explanation:

So if 1 inch = 12 miles, you need to find 4 inches. There are multiple ways to achieve this. However ratios/proportions might be easiest.

if 1/12 = 4/x, x is the value of miles. Cross multiply so you get this:

1           4

-     =    -       =        60 = x

12          x

If x equals 60, that means that 4 inches equals 60 miles on the map.

You could also just find an equal fraction by multiplying the top and bottom both by 4.

The miles are represented by 4 inches on the map, if the scale on a map, is 1 inch on the map = 12 miles is 48 miles.

What is multiplication?

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given data:

According to the scale on a map, 1 inch on the map = 12 miles

Calculate the miles as shown below,

Miles in 4 inches on the map = 4 × miles in  1 inch on the map

Miles in 4 inches on the map = 4 × 12 = 48 miles,

Therefore, the miles are represented by 4 inches on the map, if the scale on a map, is 1 inch on the map = 12 miles is 48 miles.

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ2

Writer the equal ratios 6:8,24:32,3/4:1

Answers

Answer:

12:16

48:64

3:4

12:16

48:64

3:4

Are your answers

Witch expression represents the sum of 8 and twice a number?

Answers

Answer:

2x+8

Step-by-step explanation:

let the number=x

Twice the number=2x

sum of 8 and twice the number=2x+8

Will the solution x > -7 have an open or closed circle?

Answers

Answer:

Open

Step-by-step explanation:

The <, > signs will have an open circle and the greater than or equal to or less than or equal to will be a be a closed circle.

Hope this helps and I hope u have an Amazing day!!

pleaseeee helppp !!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

Answer:

Your answer is...

Step-by-step explanation:

what is the options???????

Please answer this question I can't seem to figure it out I have even asked my parents.

Answers

Answer:

j. Pam, Tia, Veronica, Lily (if it's youngest to oldest)

Step-by-step explanation:

If Tia is 8 yrs old and she's 2 yrs older than Pam, then Pam must be 6 yrs old. Pam si 5 yrs younger than Veronica who must be 11 + 4 = 15.

Tia: 8 yrs.

Veronica: 11 yrs

Pam: 6 yrs.

Lily: 15

Answer: from youngest to oldest it’s Lily, Veronica, Tia, then Pam

Step-by-step explanation:

Tia being 8, Pam is 6, Veronica is 11 and Lily is 15

Samantha is selling custom printed t-shirts as a fundraiser. It costs her $3.50 to print a shirt with one ink color and $4.00 to print a shirt with two ink colors. She sells single-ink-color shirts for $5.00 and two-ink-color shirts for $6.00. An order is placed for 153 single-ink-color shirts and 88 two-ink-color shirts. How much will Samantha have to spend in order to fulfill this order?

Answers

Answer:

42

Step-by-step explanation:

Just did it for HW

Answer:

How much it costs her to make it:

One-ink: 535.5

Two-ink: 352

Total: 887.5

Profits:

One-ink: 229.5

Two-ink: 176

Total: 405.5

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