• watchmath
Let $$\{F_n\}$$ be the Fibonacci sequence: $$F_0=1, F_1=1$$ and $$F_n=F_n+F_{n-1}$$ for $$n\geq 2$$. Show that $\sum_{i=0}^n (n-i)F_i=F_{n+3}-n-3$
Mathematics

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