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Square of an Odd (Posted on 2002-10-06) Difficulty: 2 of 5
Take any odd number and square it. It will invariably be a multiple of 8 plus 1. So (odd)^2=8n+1 where n is an integer. Show why this is always so. Also show what the pattern for n is.

See The Solution Submitted by martyn    
Rating: 3.1333 (15 votes)

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  Subject Author Date
SolutionAnswerMath Man2013-06-10 16:51:54
SolutionPraneeth2007-08-01 13:11:24
SolutionPuzzle solution ( Continued)K Sengupta2007-04-20 12:23:11
SolutionPuzzle solutionK Sengupta2007-04-20 12:16:21
solAndre2005-09-07 22:03:39
Some Thoughtshmm..Amon2005-05-04 02:46:33
QuestionSimilar problemJonathan Fletcher2004-10-07 07:32:51
Some Thoughtsim smartBilly Bob2004-03-25 13:05:15
Solutioninduction does itAdy TZIDON2004-03-04 03:30:15
a simple solutionred_sox_fan_0320032004-03-03 17:56:18
SolutionPart 1,The formula for nTim Axoy2003-03-26 02:24:55
SolutionPart 1,The odd number 2m+1Tim Axoy2003-03-26 02:19:24
re: Alternate ApproachGamer2003-03-12 14:06:00
Not factorial!TomM2002-10-07 19:16:26
Square of an Odd NumberDouglas Johnson2002-10-07 15:47:22
Some ThoughtsAnswer to first questionDulanjana2002-10-07 14:46:57
SolutionAlternate ApproachTomM2002-10-06 17:52:23
re: no solution?TomM2002-10-06 17:33:36
no solution?martyn2002-10-06 17:19:53
SolutionHeh!TomM2002-10-06 13:25:45
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