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Show that the square of any positive odd integer is of the form 8m + 1, for some integer m.
Asked by Ashish | 04 Apr, 2015, 02:04: PM
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w h e n space n space equals left parenthesis 4 x space plus space 1 right parenthesis n squared space equals space left parenthesis 4 x space plus space 1 right parenthesis squared space equals space 16 x squared space plus space 8 x space plus space 1 space equals space 8 x left parenthesis 2 x space plus 1 right parenthesis plus space 1 equals space 8 m space plus space 1 left square bracket left parenthesis w h e r e space m space equals space x left parenthesis 2 x space plus 1 right parenthesis right square bracket h e n c e comma space n to the power of 2 space end exponent i s space i n space t h e space f o r m space o f space 8 m space plus 1 space

Answered by | 06 Apr, 2015, 05:00: PM
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Show that the square of any positive odd integer is of the form 8m + 1, for some integer m.
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