Question

If n is an positive odd integer greater than 1, then prove that n²- 1 will always be divisible by 8.

Answer 1

If n is a positive odd integer
Then by euclids division lemma . We have a=n^2-1 where o is lesser than or equal to r is lesser than 1
Here n=2m (even)
When n=2m+1 ( odd)


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