Question

use eucild's division lemma to show that any positive odd integer is of the from 6q+1 or 6q+3 or6q+5 where qis some integer​

Answer 1

Bro this is my answere,

My writing is not good .If you cam understand than its well and good if not than sorry.

Answer 2

Answer:

let a be any positive odd integer and b=6

Apply Euclid 's division lemma

a=bq+r 0=<r<6

I. e. r= 0,1,2,3,4,5

when r=0

a= 6q

when r=1

a=6q+1

when r=2

a=6q+2

when r=3

a=6q+3

when r=4

a=6q+4

when r=5

a=6q+5

0,2,4 are even numbers

1,3,5 are odd numbers

so, we can say that every positive odd integer is of the form 6q+1,6q+3,6q+5 where q is some integer.

Hope this helps you

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