Question

Write the whethen every positive integers can be
of the form 4q+2 where q is an integers
​

Answer 1

Answer:

Step-by-step explanation:

Yes may be

Let a be a given positive number.

On dividing a by 4, let q be the quotient and r be the remainder.

Then,by Euclid's algorithm,we have:

a=4q+r where 0<=r<4

a=4q+r where r=0,1,2,3

a=4q+2=2(2q+1)

It is clearly shown that 2q+1 is divisible by 2.Therefore,4q+2 is a positive integer.

Answer 2

Answer:

No every positive inetegers cannot be only of the form 4q +2