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Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 where q is some integer

Posted by Krishin M Veer 5 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Aalok Patil 5 years, 6 months ago

Let any posite odd integer be 'a'. a=bq+r 0 <_ r < b b= 6 a= 6q+ r 0<_ r < 6 1) r= 0 , a= 6q 2) r=1 , a= 6q+1 2) r=2 , a= 6q+2 3) r=3 , a= 6q+3 4) r=4 , a= 6q+4 5) r=5 , a= 6q+5 Therefore, any positive integer can be in the form 6q, 6q+1, 6q+2, 6q+3, 6q+5. Here is your answer.

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