Odd numbers

2008-11-10 7:46 am

By using algebraical method prove that the product of two consecutive odd numbers are a multiple of 4 with remainder 3

Working is required, thx!

回答 (1)

2008-11-10 8:21 am

✔ 最佳答案

設兩個正單數(2N+1) , (2N-1)

(2N+1)(2N-1)=4N^2 - 1
=4N^2 - 4 + 3
=4(N^2 -1 ) +3

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