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Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

With Fibonacci numbers F1=F2=1F_1 = F_2 = 1, Fn+1=Fn+Fn−1F_{n+1} = F_n + F_{n-1}, induction proves F1+F2+⋯+Fn=Fn+2−1F_1 + F_2 + \cdots + F_n = F_{n+2} - 1. What is F1+F2+⋯+F10F_1 + F_2 + \cdots + F_{10}?

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