sum of squares of first 600 terms of the Fibonacci sequence is divisble by 8

[JayZ777]

Hey guys, I'm new to modulo arithmetic and I came across this interesting problem the other day.

Prove that the sum of the squares of the first 600 terms of the Fibonacci sequence is a multiple of 8.

I would appreciate any any help or a solution to this problem.

 

[Deleted member 4993]

Hey guys, I'm new to modulo arithmetic and I came across this interesting problem the other day.

Prove that the sum of the squares of the first 600 terms of the Fibonacci sequence is a multiple of 8.

I would appreciate any any help or a solution to this problem.

How would you express nth term of the sequence?