Question

show that every positive even integer is of the form 2q and that every opposite odd integer is of the form 2q + 1 where Q is some integer​

Answer 1

Answer:

you can do it in easy way just like it has one fomula a=bq+r then from this

Step-by-step explanation:

1. a=2q+r so 0then greater then r then greater then 2. so. a=2q+0. then. a= 2q+2. then a=2q+4 q is a quotient and a is odd integer

and even both they are

Answer 2

Answer:

let a and b=2 an positive integer

By Euclid division lemma

a=bq+r

Step-by-step explanation:

where r is 0<=r<2, then r=0,1,2etc

when we take r=0 then,

a=2*q+o=2q. .(even) in case1

when we take r=1 then

a=2*q+1=2q+1 (odd) in Case 2

Hence, every positive even integer is of the form of (2q) and every positive odd integer in the form of (2q+1) for some integer Q.

I HoPE u r understand this question thank you