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(Solved): Problem 2. For each ninN, let F_(n) be the n^(th ) Fibonacci number. So, F_(1)=F_(2)=1, and for all ...



Problem 2. For each

ninN

, let

F_(n)

be the

n^(th )

Fibonacci number. So,

F_(1)=F_(2)=1

, and for all

n>=2,F_(n+1)=F_(n)+F_(n-1)

. Prove that for each

ninN

,

F_(1)+F_(3)+F_(5)+dotsF_(2n-1)=F_(2n).


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