Use induction to prove that the product of any three consecutive natural numbers is divisible… 1 answer below »

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(1) Use induction to prove that the product of any three consecutive natural numbers is divisible by 6. (2) Let p be a prime. Prove that modulo p, every nonzero number has a unique multiplicative invese. That is, if x ? {1, 2, 3, . . . , p- 1} then there is a unique y ? {1, 2, 3, . . . , p – 1} such that xy = 1 mod p.

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