Show that square of any positive odd integer is of the form 8m + 1, for some integer m.
Dear Student!
Here is the answer to your question.
Any odd positive integer is of the form 4q + 1 or 4q + 3 for some integer q.
When n = 4q + 1,
⇒ n2 is in the form 8m + 1
Hence, n2 is in the form 8m + 1 if n is an odd positive integer.
Cheers!