Question

prove that the square of any positive integer of the from 5q+1 is of the same form​

Answer 1

Answer:

Step-by-step explanation:

Square of 5q + 1 can is

25q^2 + 10q + 1

This can be written as 5(5q^2 + 2q) +1

Take 5q^2 + 2q as k

Therefore this can be written as 5k + 1

Hence proved

Answer 2

Hy...

Let n = 5q + 1 where q is a positive integer

∴ n^2 = (5q + 1)^2

= 25q^2 + 10q + 1

= 5(5q^2 + 2q) + 1

= 5m + 1, where m is some integer

Hence, the square of any positive integer of the form 5q + 1 is of the same form.