Question: (a) Prove that for all n N, 10 = (-1) (mod 11). (b) Consider the result for mod 9 in part (b) of Exercise

(a) Prove that for all n ∈ N, 10" = (-1)" (mod 11).
(b) Consider the result for mod 9 in part (b) of Exercise 18. State and prove a comparable result for mod 11.

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a For n 0 we have 10 1 11 so 10 1 mod 11 Since 10 1 11 10 1 mod 11 or 1... View full answer

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