Subject: squaring numbers Name: timothy Who are you: Parent (All) did anyone ever try to teach that the easiest way to find the next square in a group of numbers is to add the next odd number in the sequence. for example: 1 squared is 1, 2 squared is 4,difference of 3.the next odd number is 5 so the next square would be 4 +5 or 9,3 squared.add 7 you get 4 squared 16,add 9 you get 5 squared 25 and so on.i think this would be an easier way to learn.if this is something no one else in the world knows i would like the rights to it, lol just kidding.but i would like to be noticed. Hi Timothy, This is a well known property of square numbers, which can be proved as follows: Consider the formula (n+1)2 = (n2) + (2n+1) Meaning of the formula: Given the square of the nth whole number [n2], we can find the next square number in the sequence [(n+1)2] by adding the next odd number in the sequence [(2n+1)]. Proof that it works: (n+1)2 = (n+1)(n+1) = n n + n 1 + n 1 + 1 = n2 + 2n + 1 It's good that you notice such properties of the numbers. It shows that you are thinking about arithmetic and not just treating it as routine operations. Paul and Penny