Now time for business
I do this to everyone so you are no exception.
Lets say you have an N x N grid, how many squares of any side can you make from that grid? (A series is an acceptable answer, no need to simplify)
To elaborate: You should already be aware of what a grid is, an N x N grid is a grid that has N gaps on one side, and N gaps on the other side. The single squares that are formed by the grid is a 1 x 1 square, but you can also get 2 x 2 squares in the grid and 3 x 3 squares. How many squares of all sizes can you get from the grid?
Hint:
Start with a grid of 1 x 1 and see how many squares are in that grid, then try a grid of 2 x 2, then 3 x 3 and so forth. Do you notice any pattern?
Hint 2:
The easiest solution to come up with is a series, a series could be for example
1 + 2 + 3 + ... + n,
or
2 + 4 + 8 + ... + 2^n
Can you find a series for the problem in question?