Question: (a) Prove thatn7n(mod 21) for every integern. (b)(6 points)Using induction on the value ofk, prove thatn6k+1n(mod 21) holds for all nonnegative integersnandk. (Hint: you can

(a) Prove thatn7n(mod 21) for every integern.

(b)(6 points)Using induction on the value ofk, prove thatn6k+1n(mod 21) holds for all nonnegative integersnandk. (Hint: you can use part (a).)

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