Show that the square of any positive odd integer is of the form 8m+1, for some integer m.

Show that the square of any positive odd integer is of the form 4t+ 1, for some integer t.

Show that the square of any positive integer is of the form 3m or,3m+1 for some integer m

Show that the square of an odd positive integer is of the form 8q+1, for some integer q.

Proof that the square of any positive integer is of the form of 4m or 4m+1 for some integer m.

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

Show that square of any positive integer is of the form of 5m,5m+1,5m-1 for some integer m.

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

Show that the square of any odd integer is of the form 4m+1, for some integer m.

Show that cube of any positive integer is of the form 4m, 4m+1 or 4m+3, for some integer m.

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m.[Hint: Let x be any positive integer then it is of the form 3q,3q+1 or 3q+2 Now square each of these and show that they can be rewritten in the form 3m or 3m+1]