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Used induction to proof that (f_1)^2 + (f_2)^2 + (f_3)^2 + ... + (f_n)^2 = (f_n)...

Used induction to proof that (f_1)^2 + (f_2)^2 + (f_3)^2 + ... + (f_n)^2 = (f_n) (f_(n+1)) when n is a positive integer. Notice that f_i represents i-th fibonacci number.

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