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The Fibonacci numbers Fsub n are defined by Fsub1=1, Fsub2=1 and for n>1, Fsub n+1=Fsubn+Fsubn-1. Use...

The Fibonacci numbers Fsub n are defined by Fsub1=1, Fsub2=1 and for n>1, Fsub n+1=Fsubn+Fsubn-1. Use PMI to prove that for all natural numbers "n"

F^2 sub1+F^2sub2 + ...+F^2subn=Fsubn times Fsub n+1

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