# Fib

Let $$f_n$$ be the $$n$$th Fibonacci number such that $$f_1=f_2=1$$ and $$f_k=f_{k-1}+f_{k-2}$$ for $$k \ge 3$$. Is it possible that

$f_x+f_{x+1}+f_{x+2}+f_{x+3}+f_{x+4}+f_{x+5}+f_{x+6}+f_{x+7}=f_{y}$

where $$x$$ and $$y$$ are positive integers?

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