Look for a pattern #1

LP #2

Hints and answers

What is the sum of the first 4 odd numbers? of the first 5 odd numbers? of the first 7 odd numbers? of the first 10 odd numbers? of the first 2356 odd numbers?


This is a different kind of problem from the ones you have been doing up until now. In this kind of problem, you should work out the "small" cases (like the sum of the first 3 or 4 or 5 odd numbers) and look for a pattern that you can use to do the larger cases without doing all that arithmetic.You might also think about how the coloring of the squares in the grid is related to this problem. As always, be sure to explain the work you did to arrive at your answers!