(a) Use induction to show that n^2 - n is always even. (b) Give a direct proof...
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(a) Use induction to show that n^2 - n is always even.
(b) Give a direct proof in one or two sentences that n^2 - n is always even.
(c) Show that n^3 - n is always divisible by three.
(d) Is n^5 - n always divisible by 5? Explain your answer.
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Sure lets go through these one at a time a Induction proof that n2 n is always even Induction works ...View the full answer
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Related Book For 
Practical Introduction To Data Structures And Algorithm Analysis Java Edition
ISBN: 9780136609117
1st Edition
Authors: Clifford A. Shaffer
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