Answer:
Recursive formula for geometric sequence

is 
and explicit formula for geometric sequence
is

Step-by-step explanation:
Given sequence is 
To find the recursive and explicit formula for this sequence:
Let 
To find the common ratio r:




Therefore r=6



Therefore r=6
Therefore the common ration r=6
Therefore the given sequence is geometric sequence
Recursive formula for geometric sequence is 

and explicit formula is 



Therefore 
Hope this helps with the answer to your question

let's evaluate ~

![\qquad \sf \dashrightarrow \: - 6 - [(5 \cdot6x) - (5 \cdot4)]](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20-%206%20-%20%5B%285%20%5Ccdot6x%29%20-%20%285%20%5Ccdot4%29%5D)



I hope you understood the whole procedure ~
F(x) = (x + 3)²
g(x) = f(x) - 7.
g(x) = (x + 3)² - 7
g(x) = (x + 3)(x + 3) - 7
g(x) = x*x + x*3 +3*x + 3*3 - 7
g(x) = x² + 3x + 3x + 9 - 7
g(x) = x² + 6x + 2