Question

3) Show that n^2 - 1 is divisible by 8 where the n is an odd positive integer

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Answer 1

Answer:

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Answer 2

$\frac{ {n}^{2} - 1}{8} \:$

Given, n is an odd positive integer.

let n be 3 (odd positive integer)

$\frac{(3) {}^{2 } - 1 }{8}$

$\frac{9 - 1}{8} = \frac{8}{8} = 1$

henceforth, proved.