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Omni-MATH / Let F(0)=0,F(1)=(3)/(2), and F(n)=(5)/(2)F(n−1)−F(n−2) for n≥2. Determine whether or not ∑_(n=0)^(∞)(1)/(F(2^(n))) is a rational number. · Discussion

Discussing Let F(0)=0,F(1)=(3)/(2), and F(n)=(5)/(2)F(n−1)−F(n−2) for n≥2. Determine whether or not ∑_(n=0)^(∞)(1)/(F(2^(n))) is a rational number. · Omni-MATH

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