Question

HELP ASAP PLEASEEEEEEEEEE

Answer 1

Given the recursive formula, each terms is five time the previous one.

This means that:

• $f(6)$ is 5 times $f(5)$, which means $f(6)=5f(5)$
• in turn, $f(5)$ is 5 times $f(4)$, so we have $f(5)=5f(4)$. This means that $f(6)=5f(5)=5\cdot 5f(4) = 25f(4)$
• Finally, $f(4)=5f(3)$ So, substituting this back gives

$f(6)=25f(4)=25\cdot 5f(3)=125f(3)$

In general, since you have $f(n)=5f(n-1)$, each time you compute a new term you multiply by a factor of 5, so if $m=n+k$, you have

$f(m)=5^kf(n)$