Question

what are the different forms in which any positive integer can be written​

Answer 1

Answer:

No, all positive integers cannot be written in the form of 4q+2

Because, 4q+2=2(2q+1)

Therefore, 4q+2 is an even number.

So, we can't write odd numbers in the form 4q+2 (where q is an integer)

Also 2q+1 is an odd number, hence the maximum power of 2 that divides 4q+1 is 1. Therefore, we can't represent the numbers divisible by 4  this form.