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Show that any positive odd integer …

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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 Chandan Kumar 6 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Vaishnavi Gawade 6 years, 1 month ago

Let a be any positive odd integer and b=6 By using euclid division algorithm a=b×q+r Since 0<r<6 Possible remainders are 1,2,3,4 and 5 That is, a can be 6q , 6q+1, 6q+2 , 6q+3, 6q+4, 6q+5. However a is odd a cannot be 6q, 6q+2,6q+4. Therefore, any odd integer is in the form 6q+1,6q+3,6q+5

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CBSE > Class 10 > Mathematics