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

Question

asked Oct 17, 2019 185k views

1 Answer

Ssn · Answer 1 · 2019-10-21T13:27:29+0000

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