Let c be an integer Define a sequence recursively by a 0 c and a n a n 1 2 1 for all positive integers n Determine all possible values (using natural representatives) of a100 modulo 11

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Question: Let c be an integer. Define a sequence recursively by a 0 = c and a n = a n-1 2 + 1 for all

Let c be an integer. Define a sequence recursively by a₀= c and a_n = a_n-1² + 1 for all positive integers n. Determine all possible values (using natural representatives) of a100 modulo 11.

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