1a. Proof by induction: For every positive integer n, 1•3•5...(2n-1)=(2n)!/(2n•n!). Please explain what the exclamation mark...

1a. Proof by induction: For every positive integer n,
1•3•5...(2n-1)=(2n)!/(2n•n!). Please explain what the exclamation mark means. Thank you for your help!

1b. Proof by induction: For each integer n>=8, there are nonnegative integers a and b such that n=3a+5b

Expert Solution

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Colby Messinger answered 2 years ago

Prove or disprove that 3|(n 3 − n) for every positive integer n.

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