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AMC (AIMO validation set) / Let x_0,x_1,x_2,dotsc be a sequence of numbers, where each x_(k) is either 0 or 1. For each positive integer n, define S_(n)=∑_(k=0)^(n−1)x_(k)2^(k) Suppose 7S_n equiv 1 pmod2^n … · Discussion

Discussing Let x_0,x_1,x_2,dotsc be a sequence of numbers, where each x_(k) is either 0 or 1. For each positive integer n, define S_(n)=∑_(k=0)^(n−1)x_(k)2^(k) Suppose 7S_n equiv 1 pmod{2^n} … · AMC (AIMO validation set)

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