_____________________________________
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:

 
 

 

 

 

 

 

 

 

 1

 

 

 

 

 

 

 

 

   Row 0
 

 

 

 

 

 

 

 1

 

 1

 

 

 

 

 

 

 

   Row 1
 

 

 

 

 

 

 1

 

 2

 

 1

 

 

 

 

 

 

   Row 2
 

 

 

 

 

  1

 

 3

 

 3

 

 1

 

 

 

 

 

   Row 3
 

 

 

 

 1

 

 4

 

 6

 

 4

 

 1

 

 

 

 

   Row 4
 

 

 

 1

 

 5

 

10

 

10

 

 5

 

 1

 

 

 

   Row 5
 

 

 1

 

 6

 

15

 

20

 

15

 

 6

 

 1

 

 

   Row 6
 

 1

 

 7

 

21

 

35

 

35

 

21

 

 7

 

 1

 

   Row 7
 1

 

 8

 

28

 

56

 

70

 

56

 

28

 

 8

 

 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

  1. Ask Dr. Math Archive: Do Natural Numbers Start with 0 or 1?
  2. Eric's Treasure Trove of Mathematics: Natural Numbers, Counting Numbers.
  3. Patterns with Pascal - Stacy Boland
  4. The Twelve Days of Christmas and Pascal's Triangle - Judy Brown


[Pascal Web Unit]
[Web Links] [Lessons] [Standards]
[Teacher Reference] [Number Patterns]

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.

Math Forum * * * * 2 May 1998