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(Solved): Extra Credit 1. Use mathematical induction to solve any 3 out of the following 5 problems. - Show t ...
Extra Credit 1. Use mathematical induction to solve any 3 out of the following 5 problems. - Show that n5−n is divisible by 5 for any positive integer n≥2 - Prove that 52n+1+22n+1 is divisible by 7 for any positive integer n≥0 - Show that n4−1 is divisible by 16 for all odd integers n - Prove that n3+2n is divisible by 3 for all integers n - Prove that 2n+1 is divisible by 3 for all odd integers n