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Show that any positive odd integer is of the form 6q + 1 or 6 q + 3or 6q+ 5 where q is some integer? |
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Answer» Answer: LET the POSITIVE integer be a and b=6 According to Euclid's division lemma, a=bq+r where.. 0 Here, a=6q+r....0 So possible values of b are 0,1...5. Now, CASE1:r=0 a=6q+0 a=6q.....................EVEN CASE2: r=1 a=6q+1................ODD CASE3: r=2, a=6q+2.................EVEN CASE4: r=3................ ................... DO SIMILARLY REST PART............... ...................... ............... Hence,any positive odd integer is of the form 6q+1,6q+3 or 6q+5 HOPE THIS ANSWER HELPS U☺️ |
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