Using direct proof show that the sum of square of even number is even. | Discrete Structure 2080.1

Discrete Structure2080.15 marksDirect proof

Using direct proof show that the sum of square of even number is even. [5]

If $n$ is an even number, then $n^2$ is even. --- - An integer $n$ is even if there exists an integer $k$ such that $n = 2k$ . - An integer $m$ is even if there exists an integer $j$ such that $m = 2j$ . --- Given: $n$ is an even integer. To Prove: $n^2$ is even. --- Step 1: Since $n$ is even, by d...

If $n$ is an even number, then $n^2$ is even. --- - An integer $n$ is even if there exists an integer $k$ such that $n = 2k$. - An integer $m$ is even if there exists an integer $j$ such that $m = 2j$. --- Given: $n$ is an even integer. To Prove: $n^2$ is even. --- Step 1: Since $n$ is even, by d...

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