What is the sum of the geometric sequence 1, -6, 36, ... If there are 6 terms? (1 point)

Answers

Answer 1

Answer:

-6665

Step-by-step explanation:

The given GP is :

1, -6, 36, ...

Number of terms = 6

The sum of n terms of a GP is given by :

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Here,

a = 1, n = 6, r = 36/-6 = -6

So,

[tex]S_6=\dfrac{1((-6)^6-1)}{(-6)-1}\\\\=-6665[/tex]

So, the sum of th GP is -6665.


Related Questions

Which of the following relations are functions?^^

Answers

Answer:

its c because the x is not repeating so let's say x are people and y is the are the location. multiple x values can give the the same y but an x value can only give one y if x give more than one y value, or in other words repeats itself, then is not a function

on a certain hot​ summer's day, people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 1258.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Step-by-step explanation:

How many people used the public pool altogether? There isn't enough info

Anyways,

You would write two equations and solve using substitution / elimination / graphing

one equation is:

1.5x + 2.25y = 1258.5

(x is children, y is adults)

Answer:

158

Step-by-step explanation:

( 4,2 ) dialated by a scale of 2

Answers

(4,2) —-> (8,4)
Answer: (8,4)

I need help -6x > 30

Answers

Answer:

×< -5

Step-by-step explanation:

-6x>30 reverse the sign

x< -5

Find the quotient: 7465 ÷ 5

Answers

Answer:

1,493

Step-by-step explanation:

7645/5=1493

find the distance between (5,10) and (8,10)

Answers

Answer:

3

Step-by-step explanation:

d=√8-5 = √9 = 3

Find the unit rate. Explain how you got your answer.
$1.00 for 6 lemons​

Answers

1:6

i got my answer for using ratios

16.6 all you have to do to get the unit rate is divide 100 by 6


A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.


A. 5,410
B. 569
C. 52,043
D. 572

Answers

Answer:  B)  569 feet

========================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

x−8≥4
x=?
please explain how you got the answer

Answers

Answer:

[tex]x \geqslant 12[/tex]

Step-by-step explanation:

[tex]x - 8 \geqslant 4[/tex]

Move the constant to the right-hand side and change its sign

[tex]x \geqslant 4 + 8[/tex]

Add the numbers

[tex]x \geqslant 12[/tex]

Alternate form

x∈[12 , +  ∞》

Help me please. I will mark brainliest!

Answers

Answer:

The answer is 6.5 hours.

Step-by-step explanation:

If you multiply the hours need to work during that week days(6) and the hours worked during the weekend(3.5) you get 33.5 hours worked over all. then, you subtract 40(the hours wanted) and 33.5(the hours worked normally) and you get 6.5.

They don't want place on the school baseball team in the last 9 games one was at bat 28 times and got six hits what is the experimental probability that one will get a kid during his next time at that express your answer as a fraction in simplest form

Answers

Eisismokistee form is their je. Ejeieiek wowow

Which equation shows how to find how much taller Samuel's dad is than Samuel?

Answers

Answer: you will either Add or Multiply

Step-by-step explanation:

The first side of a triangle is 4 inches longer then twice th second side the third side of a trianhle

Answers

Question:

The first side of a triangle is four inches longer than twice the

second side. The third side of the triangle is 5 inches shorter than

the sum of the other two sides. The perimeter is 72 inches. Find

the lengths of the three sides.

Answer:

The sides of the triangle are: 11.5, 27 and 33.5

Step-by-step explanation:

Let the first side be f, the second be s and the third be t.

So, we have:

[tex]f =4 + 2s[/tex]

[tex]t = f + s - 5[/tex]

[tex]Perimeter = 72[/tex]

Required

Determine the length of the three sides

Perimeter is calculated as:

[tex]Perimeter = f + t + s[/tex]

Substitute values for f and t

[tex]Perimeter = 4+2s + f+s-5 + s[/tex]

[tex]Perimeter = f+2s +s+s-5+4[/tex]

[tex]Perimeter = f+4s-1[/tex]

Substitute values for f and Perimeter

[tex]72 = 4+2s+4s-1[/tex]

[tex]72 = 2s+4s-1+4[/tex]

[tex]72 = 6s+3[/tex]

Collect Like Terms

[tex]6s = 72 -3[/tex]

[tex]6s = 69[/tex]

[tex]s= 11.5[/tex]

[tex]f =4 + 2s[/tex]

[tex]f = 4 + 2 *11.5[/tex]

[tex]f = 27[/tex]

[tex]t = f + s - 5[/tex]

[tex]t=27+11.5 - 5[/tex]

[tex]t=33.5[/tex]

The sides of the triangle are: 11.5, 27 and 33.5

need ASAP BEFORE 10:30PM
The heights of two vertical posts are 2 meters and 0.45 meter. When the shorter post casts a shadow that is 0.85 meter long, what is the length of the longer post's shadow to the nearest hundredth?
explain please​

Answers

Answer: 3.78m

Step-by-step explanation: I hope that helps

I am useless plz help

Answers

Answer: your answer is 195

Step-by-step explanation:

Round : 523.333333333
to the nearest hundredth

Answers

523.33

Hundreds, tens, ones.tenths, hundredths

Alex bought a present for his friend. The box, with its dimensions, is shown below.
If Alex has 60 square inches of wrapping paper, does he have enough paper to wrap the gift? (Assume that the shape of the wrapping paper doesn't matter.)
O yes because the gift has a surface area of 48 square inches
O no because the gift has a surface area of 96 square inches
O yes because the gift has a surface area of 32 square inches
O no because the gift has a surface area of 64 square inches ​

Answers

Answer:

yes because the gift has a surface area of 48 square inches

Step-by-step explanation:

Surface area formula:

A = 2(wl + hl + hw)

2 · (4 · 4 + 1 · 4 + 1 · 4) = 48

HELP ME PLS, my assignment end in few minutes and I need help pleasee help me 10POINTS!!

Answers

Answer:

Q (2,1)

R(2,5)

S(4,5)

T(8,1)

Johanne packed 10 boxes of apples each day for 8 days. What is the total number of boxes Johanne packed?

Answers

Answer:

80 10x8 is 80

your welcomr

Identifique el valor atípico en la siguiente lista. Luego encuentre la media y la mediana de la lista con y sin el valor atípico 10, 4, 20, 5, 11, ISo, 7 de millas Atípico- 10 Media con valor atípico - 29,6 Mediana con valor atípico- 10 Media sin valor atípico - 44,1 Mediana sin valor atípico - 10,5 b. Valor atípico -10 Media con valor atípico - 10 Mediana con valor atípico - 29,6 Media sin valor atípico - 8,5 Mediana sin valor atípico 9.5 a Valor atípico - 1SO SN Media con valor atípico -9,5 Mediana con valor atípico 8,5 Media sin valor límite 29,6 Mediana sin valor atípico - 10 d Valor atípico - Media ISO con valor atípico -29,6 Mediana con valor atípico 10 Media sin valor atípico - 9,5 Mediana sin valor atípico - 8,5

Answers

Translate to English and I can help u, if I were to give u a answer it would be -8.5 based on the stuff given

A. g(x) = 4x2
B.
g(x)=2x2
(4)
D. g(x)=2x2
C. g(x)=
O

Answers

Answer:

It should be D on the photo

Help please! :) thank you

Answers

Answer:

B

Step-by-step explanation:

Hope it’s correct

I think it would be B

The length of Bryan’s garden is 4 meters longer than 3 times the width. The perimeter of his garden is 72 meters. What are the dimensions (l, w) of his garden?

Answers

Answer:

8 m = width

28 m = length

Step-by-step explanation:

Let w = width

3w + 4 = length

P =  2w + 2l

  = 2w + 2(3w + 4) = 72

     2w + 6w + 8 = 72

      8w + 8 = 72

       8w = 64

         w = 8 m = width

3w + 4 = 24 + 4 = 28 m = length

Answer:

46

Step-by-step explanation:

I took it and got it correct

Help me please ill pay u

Answers

Answer:

x= -1  

y= -1

Step-by-step explanation:

x is -2 y is -3/8
i put it into photomath

please help me :) due in a few hours.. uggh this sucks

Answers

y = 3x - 4 answer x = 11/3

4x + 3y = 1 answer -3/4y + 1/4

2-3x = y answer -1/3y + 2/3

EASY MATH BRAINLIEST + POINTS

Answers

Answer:

thats not easy

Step-by-step explanation:

Answer:

-17 and -1

Step-by-step explanation:

What is the coefficient in the variable term 7x?

Answers

Answer:

7

Step-by-step explanation:

the coefficient is the number that is multiplied by x which in the case of 7x is 7

Hope that helps :)

There are 24 boys and 16 girls in a hall, each holding coins in their hand.The mean number of coins for the children is 11, The mean number of coins for the boys is 9 Work out the mean number of coins for the girls.

Answers

Answer:

14

Step-by-step explanation:

The computation of the mean number of coins for the girls is shown below:

Since there are 24 boys and 16 girls so the total children is 40

So the number of coins for all children is

= 40 × 11

= 440

And, the number of coins for all boys is

= 9 × 24

= 216

Now the mean is

= (440 - 216) ÷ 16 girls

= 14

Which choice represents the expanded form of the expression, (x−2)^3?

Answers

(x-2) ^3

x^3-6x^3+12x-8

use exponents to write an equivalent expression for 2.9 x 2.9 x 2.9 x 2.9.

Answers

Answer:

2.9 to the 4th power

Step-by-step explanation:

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