Let $\left(f_n\right)_{n \in \mathbb{N}}$ be the Fibbonacci sequence. I've seen that: $$ \sum_{n=0}^{+\infty}\frac{1}{f_{2^n}}=\frac{7-\sqrt{5}}{2} $$ I wonder how we can prove this result. Any hint ?
2026-03-26 22:53:40.1774565620
Sum of $1/f_{2^k}$
39 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in SEQUENCES-AND-SERIES
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