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a) Show that n(2n + 1)(7n + 1) is divisible by 6 for all integers n.

b) Find all integers n such that n(2n + 1)(7n + 1) is divisible by 12.

 

Explain your answer please!

 Nov 26, 2020
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(a) Remember that to prove that a number is divisible by 6, you just have to prove that it is divisible by 2 and 3.

 

(b) The solultions are n = 2 and 7 (mod 12).

 Dec 12, 2020

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