Find the sum of the geometric sequence −3, 15, −75, 375, when there are 7 terms and select the correct answer below. −39,063 39,063 58,593 −58,593

ANSWER

−39,063

EXPLANATION

The given geometric sequence is

-3,15,-75,375,...

The sum of the first n-terms of a geometric sequence is calculated using the formula;

Where a=-3 is the first term of the geometric sequence and

is the common ratio of the sequence.

The sum of the first seven terms is

This simplifies to:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

explanation:

step-by-step explanation: