Question

write whether every positive integer can be of the form 4q + 2 , where q is an integer .
justify your answer !

Answer 1

Hey there !!!!

Every positive integer cannot be of the form 4q+2 because

If 

1)q=0
n=2

2)q=1

n=4*1+2=6

3) q=2

n=4*2+2=10

We can notice that numbers which are even and are not divisible by 4 can 
be written of the form 4q+2.

So, we can conclude that numbers which are not divisible by 4 ( we need to write a number in form 4q+2 and when we divide number with 4 we get remainder as 2) and numbers which are not odd ( as odd numbers are of the form 4q+1) can be written of the form 4q+2.