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

Posted by Bhagya Sudarsan 6 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Anshul Kumar Parira 6 years, 1 month ago

According to Euclid's division lemma a=bq+r In this case b=5 Possible remainders =0,1,2,3,4 and 5 1.When r=0 a= bq+r a=6q+0 a=6q (even) 2.When r=1 a=bq+r a=6q+1 (odd) 3. When r=2 a=bq+r a=6q+2 (even) 4. When r=3 a=bq+r a=6q+3 (odd) 5. When r=4 a=bq+r a=6q+4 (even) 6. When r=5 a=bq+r a=6q+5 (odd)

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CBSE > Class 10 > Mathematics