Question

For some integer q every odd integer is in the form

Answer 1

Answer:

We know that integers are positive and negative whole numbers.

(...,−3,−2,−1,0,1,2,3,...)

Also, any integer multiplied by 2 is even.

Example:- (3)×2=6 , (7)×2=14, (8)×2=16 and so on.

If 1 is added to these even number, it results in a odd number.

Example 6+1=7, 14+1=15, 16+1=17,

If q is any integer, then 2q is the set of even numbers and 2q+1 represents odd numbers.

Ans is: 2q+1

Answer 2

Answer:

We know that, odd integers are 1,3,5…. So, it can be written in the form of 2q+1. When, a=2q+1 for some integer q, then clearly a is odd.