PLEASE HELP ASAP/ thank you

Which of the following infinite geometric sequences will have a related convergent series?
- {5, 6, 7.2, 8.64...}
- {120, 96, 76.8, 61.44,...}
- {16, 20.8, 27.04, 35.15,...}
- {44, 44, 44, 44, ...}

What is a | related | convergent series?

i got 142 as my answer

step-by-step explanation:

but which class are u may know that first

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.