Consecutive Odd NUmbers

Using our Mathematical Superpowers, we were able to solve a Mathematical Investigation. We wanted to find out what happens when starting from 1, you add consecutive odd numbers. We thought of Incredible IE and used Numicon to make the calculations. This allowed us to see a pattern. We noticed that the sums of these sequences of numbers always made a square. After a lot of hard work, we made a generalisation. In order to work out the sum of consecutive odd numbers starting at 1, you need to count how many odd numbers there are in the calculation and then multiply this number by itself. Therefore, if you want to find the sum of the first 1000 consecutive odd numbers, you just need to multiply 1000 x 1000. This is much easier than adding all of the numbers together!