Question

Use Euclid division lemma to show that any positive odd integer is of the form 6q+1, or
69 + 3 or 6q+5, where q is some integers.
r1​

Answer 1

Answer:

1. first of all let letter a as an integer where a=bq+r where 0<r<b let a as an positive odd number now let it b equal to 6

Step-by-step explanation:

2. according to euclid's division lemma r cannot be greater than b so r=1,2,3,4,5.

3. because a is an odd number and BQ +r are divisible by a so r should be an odd number

4. Putting b=6 and r=1,3,5 we get dad any positive odd integer is can be in the form of 6q+1,q+3,6q+5

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