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13 April, 18:28

Prove for all natural numbers n if n is odd then n^2 + 3n is even

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  1. 13 April, 18:57
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    An odd number can be written in the form 2x+1.

    (2x+1) (2x+1) + 3 (2x+1) =

    4x²+4x+1+6x+3=

    4x² + 10x + 4

    now 4x² is even because 4 is a multiple of 2

    10x is even because 10 is a multiple of 2

    4 is even

    add 3 evens together and you get yet another even
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