Question

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

Answer 1

hey.. here's ur solution,
let a be any positive integer and
b = 4
(Used Attachment )

hope it helps uh!!

Answer 2

No, every positive integer cannot be only of the form 4q + 2.

Justification:

Let a be any positive integer. Then by Euclid’s division lemma, we have a = bq + r, where 0 ≤ r < b

Putting b = 4,

we get a = 4q + r, where 0 ≤ r < 4

Hence, a positive integer can be of the form, 4q, 4q + 1, 4q + 2 AND,4q+3