Question

Plese help with both of these

Answer 1

Explanation:

Explicit formula of a G.P. is given by,

`a_n=a(r)^(n-1)`

Here,
`a_n` = nth term

a = First term

n = number of term

r = common ratio

Given sequence is 3, 6, 12, .......

a = 3

r =
`(6)/(3)` = 2

Therefore, explicit formula will be,

`a_n=3(2)^(n-1)`

Option (3) is the answer.

Parent function → f(x) = 3ˣ

Transformed function → g(x) =
`3^(x+5)`

Since, g(x) = f(x + 5)

Therefore, function 'f' has been shifted 5 units left.

Option (1) is the answer.