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If n is an odd positive integer, show th...

If n is an odd positive integer, show that `(n^2-1)` is divisible by 8.

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To show that \( n^2 - 1 \) is divisible by 8 when \( n \) is an odd positive integer, we can follow these steps: ### Step 1: Express \( n \) as an odd integer An odd integer can be expressed in the form: \[ n = 2k + 1 \] where \( k \) is an integer. ...
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