Exploring Pascal ||
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Exploring Pascal ||
Student Center ||
Teachers' Place
The natural numbers are also known as the counting numbers.They appear in the second diagonal of Pascal's triangle:
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1 |
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Row 0 | |
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1 |
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1 |
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Row 1 | |
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1 |
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2 |
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1 |
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Row 2 | |
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1 |
3 |
3 |
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1 |
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Row 3 | |||
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1 |
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4 |
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6 |
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4 |
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1 |
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Row 4 | |
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1 |
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5 |
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10 |
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10 |
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5 |
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1 |
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Row 5 | |
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1 |
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6 |
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15 |
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20 |
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15 |
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6 |
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1 |
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Row 6 | |
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1 |
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7 |
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21 |
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35 |
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35 |
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21 |
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7 |
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1 |
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Row 7 | |
| 1 |
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8 |
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28 |
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56 |
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70 |
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56 |
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28 |
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8 |
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1 |
Row 8 |
Notice that the numbers in the rows of Pascal's triangle read the same left-to-right as right-to-left, so that the counting numbers appear in both the second left and the second right diagonal.
References
- Ask Dr. Math Archive: Do Natural Numbers Start with 0 or 1?
- Eric's Treasure Trove of Mathematics: Natural Numbers, Counting Numbers.
- Patterns with Pascal - Stacy Boland
- The Twelve Days of Christmas and Pascal's Triangle - Judy Brown
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