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Omni-MATH / Let f(n) and g(n) be polynomials of degree 2014 such that f(n)+(−1)^(n)g(n)=2^(n) for n=1,2,…,4030. Find the coefficient of x²⁰¹⁴ in g(x). · Discussion

Discussing Let f(n) and g(n) be polynomials of degree 2014 such that f(n)+(−1)^(n)g(n)=2^(n) for n=1,2,…,4030. Find the coefficient of x²⁰¹⁴ in g(x). · Omni-MATH

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