Any idea about Images of a Function?

Algebra Level 5

Let \(f\) be a function from the set of all non-negative integers into itself such that:

  • \((f(2n+1))^2 - (f(2n))^2 = 6f(n) + 1\), and

  • \(f(2n) \geq f(n)\)

How many numbers less than \(2015\) are there in the image of \(f\)?

×

Problem Loading...

Note Loading...

Set Loading...