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Prove the following:For any natural number n, if n2 6n is an even number, then n is an even number.-You will use Overleafto typeset your solutions to the assignment andthen upload the file to

Question

Prove the following:

For any natural number n, if n 2 + 6 n is an even number, then n is an even number.

Prove the following:
For any natural number n, if n2 6n is an even number, then n is an even number.
-
You will use Overleaf
to typeset your solutions to the assignment and
then upload the file to
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Prove the following: For any natural number n, if n2 6n is an even number, then n is an even number. - You will use Overleaf to typeset your solutions to the assignment and then upload the file to

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Step 1

To prve that n is an even integer under the given conditions

Step 2

Proof uses the property that the squ...

Given
n62k
n 2(k-6)
> is even
n is even
(as odd squares are odd
(2m 1)4m2 4m 1,is odd)
help_outline

Image Transcriptionclose

Given n62k n 2(k-6) > is even n is even (as odd squares are odd (2m 1)4m2 4m 1,is odd)

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