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2007 iTest Problems/Problem 53

Revision as of 20:26, 2 December 2015 by Techguy2 (talk | contribs)

Problem

Let $T=\text{TNFTPP}$. Three distinct positive Fibonacci numbers, all greater than $T$, are in arithmetic progression. Let $N$ be the smallest possible value of their sum. Find the remainder when $N$ is divided by $2007$.

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