Question

Plese help with both of these

Answer 1

Answer:

Step-by-step 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 = $\frac{6}{3}$ = 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.