The third term of a geometric sequence is 112, and the fifth term is 1,792.
a) what is the exponential regression formula?
b) the base of the exponent is the common ratio in a geometric sequence. what is the common ratio for this geometric sequence?
c) what is the first term?
d) using the first term and common ratio, write the explicit formula.
e) showing all work, find the sum of the first 12 terms. state if the sum can be found if this was an infinite geometric sequence. justify your answer.

10000000000000000000000000000000

hreryryrranswer:

step-by-step explanation:

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.

step-by-step explanation:

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