Question

Fun question :D #Bored

Answer 1

Function F(n) defined over all positive integers n satisfies the following:
\[f(1)=1,f(2)=2, and\]
\[f(n+2)=f(n+1)+(f(n))^{2}+4022 \ for \ n \ge1\]

How many of the 4022 integers f(1), f(2),....f(4022) are multiple of 7?

Answer 2

well I notice f(3) is a multiple of 7
but checking all of those will be crazy
so there has to be a slick way of doing this

Answer 3

:)