‼️PLEASE HELP‼️ Rosita is writing an explicit function for the geometric sequence:
80, 40, 20, 10,...
She comes up with t(n) = 160(1/2)^n
What domain should Rosita use for T so it generates the sequence?
Choose 1 answer
A: n ≥ 0 where n is an integer
B: n ≥ 0 where n is any number
C: n ≥ 1 where n is an integer
D: n ≥ 1 where n is any number

C- where n (greater than or equal to ) 1

Step-by-step explanation:

C- where n (greater than or equal to ) 1

Because in that sequence 0 doesn't make sense since 160 * 1/2 = 80 ^ 0 = 1. Doesn't make sense since there's no "1" in that sequence.

It's not "any number" because It can't be negative nor a decimal.

So, C.

:) hope this helps

The answer is C

Step-by-step explanation:

(I had the same Khan Academy question)

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.