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Show that any positive odd integers is of the form of 4m+1 or 4m+3 where m is some integer

Posted by Mani Singh Rajput 6 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Sachin Yadav 6 years, 3 months ago

Where q is an integer

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Sachin Yadav 6 years, 3 months ago

According to Euclid division lemma a=bq+r. ,whereas b>r<0 and also equal. a=bq+r ,where r=0,1,2,3 In first case a= bq+r when r =0 then, a=4q+0 a=4q. In second case when r=1 then, a=bq+r a=4q+1. In third case when r=2 then, a=bq+r a=4q+2. In last Case when r=3 then, a=bq+r a=4q+3.

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CBSE > Class 10 > Mathematics