Addition of Subscript F_4k+4: Explained with Examples

[Robb]

Homework Statement

Let ##F_n be the n-th Fibonacci number, where F_0=0 and F_1=1. Prove that if n is a multiple of 4, the F_n is a multiple of 3.

Relevant Equations

##F_{4k+4}

Can somebody please explain below

$F_{4k+4} = F_{4k+3} + F_{4k+2}$

I thought it would be

$F_{4k+4} = F_{4k+3} +F_{4k+1}$

Thanks!

 

[fresh_42]

The standard Fibonacci sequence always adds the two predecessors:
https://en.wikipedia.org/wiki/Fibonacci_number

 

[Robb]

AHHHH! Gracias!

 

[fresh_42]

de nada