Let Fn denote the nth Fibonacci number. If we know that F24=46368 and F28=317811, compute F26?

Question

Assumptions
A Fibonacci sequence is a sequence that satisfy the recurrence relation Fn+2 = Fn+1 + Fn for with initial conditions F1=F2=1

Answer 1

We know F(n)= F(n-1) + F(n-2)

;;;;;; F28=F27 + F26 ;;;;F27=F26 + F25 ;;;;; F26= F25 + F24;;;;

Rearranging we get ;;; F26=(F28+F24)/3 === 121393