Question

If a sentence is defined recursively by f(0)=3 and f(n+1) = f(n) +5 for n ? 0, then f(2) is A) 2 B) 3 C) 5 D) 8

Answer 1

The recursive formula $f(n+1)=f(n)+5$ means that the next term in the sequence is 5 more than the previous one.

So, we know that we start from $f(0)=3$, which means that the next term is

$f(1) = f(0)+5 = 3+5 = 8$

Similarly,

$f(2) = f(1)+5 = 8+5 = 13$