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If n3 is an odd integer, which one of the following expressions is an even ... ...

If n3 is an odd integer, which one of the following expressions is an even integer?
(A)    2n2 + 1
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set F: Number Theory

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Replies to This Thread: 1 | ----
If n3 is an odd integer, which one of the following expressions is an even ... ... 
Posted: 02/12/2016 20:40
Well suppose we used n=3 then the answer would be n(n+2)
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Posted: 02/12/2016 21:52
Hi Joelene,

If chose n = 3, then n(n + 2) = 3(3 + 2) = 3(5) =15, which is an odd number. But we are looking for an even number, so n(n + 2) is not correct.

With n = 3, Choice (C) becomes 3^2 + 1 = 9 + 1 = 10, which is even. So, again (C) is the correct answer.

Nova Press
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If n3 is an odd integer, which one of the following expressions is an even ... ... 
Posted: 02/12/2016 20:40
How do we determine weather to use n=1 or another number
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Posted: 02/12/2016 21:54
Hi Joelene,

Any odd number will work.

We chose n = 1 because it is the easiest odd number to work with.

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