Prove that the square of any positive integer is of the form of 5q, 5q+1, 5q+4 for some integer q.

Prove that the square of any positive integer is of the form of 5q, 5q

1.	Prove that the square of any positive integer is of the form of 5q, 5q+1, 5q+4 for some integer q.
Answer» First 5qLet the value of q be 55(5)255mValue of m is 5 5q +1 Let the value of q be 105(10)+1by this take the value in bracket be m (because 10 is integer and we can take the value of 10 as m) 5m+15q+4Let the value of q be 105(10)+45m+4Solved Very easy