We want to find a recursive formula for f(n) = 64 + 6n
The recursive formula is f(n) = f(n - 1) + 6
First, a recursive formula is a formula that gives the value of f(n) in relation to the value of f(n - 1) or other previous terms on the sequence.
We know that:
f(n) = 64 + 6n
f(n - 1) = 64 + 6*(n - 1) = 64 + 6*n - 6
Then we can rewrite:
f(n) = 64 + 6n + 6 - 6
f(n) = ( 64 + 6n - 6) + 6
And the thing inside the parenthesis is equal to f(n - 1)
Then we have:
f(n) = f(n - 1) + 6
This is the recursive formula we wanted to get.
If you want to learn more, you can read:
https://brainly.com/question/11679190
