Squares
The result of squaring a number can also be arrived at by progressively adding consecutive odd numbers as shown below.
| 1² | = 1 | = 1 |
| 2² | = 4 | = 1+3 |
| 3² | = 9 | = 1+3+5 |
| 4² | = 16 | = 1+3+5+7 |
| 5² | = 25 | = 1+3+5+7+9 |
| 6² | = 36 | = 1+3+5+7+9+11 |
| 7² | = 49 | = 1+3+5+7+9+11+13 |
| 8² | = 64 | = 1+3+5+7+9+11+13+15 |
| 9² | = 81 | = 1+3+5+7+9+11+13+15+17 |
| 10² | = 100 | = 1+3+5+7+9+11+13+15+17+19 |
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