Question

Any positive ood integer is of the form 6 q+1, or if 6q + 3 or 6q +5, where q is some integer

Answer 1

Hello Dear!!!

Here's your answer...

By Euclid division lemma...

a = bq+r

Here,

b is 6

And r should be less than 6

r = (1,2,3,4,5,6)

a = bq+r

If r = 0

a = 6q +0
It is even... because it is divisible by 2

If r = 1

a = 6q+1
It is odd... because it is not divisible by 2

If r = 2

a = 6q+2
It is even...it is divisible by 2

If r = 3

a = 6q+3
It is odd... because it is not divisible by 2

If r =4

a = 6q+4
It is even... because it is divisible by 2

If r = 5

a = 6q + 5
It is odd.. because it is not divisible by 2

So...

Any positive odd integer will be in the form of 6q+1 or 6q + 3 or 6q + 5

__________________

Hope this helps you...
Hope you got it...