Counting Ii Statistics Worksheet Page 6
ADVERTISEMENT
1
2
3
4
5
6
7
8
9Change the values of n and k and check that the above formula always
indicates that to find a number in Pascal’s triangle, just sum the two numbers
that are directly above it.
For example,
2
1
1
=
+
= 1 + 1 = 2
1
0
1
and
5
4
4
=
+
= 4 + 1 = 5
4
3
4
We know the natural numbers that are at the very tip of Pascal’s triangle.
To find the rest of the numbers in Pascal’s triangle, we can let that knowledge
trickle down the triangle using this latest formula that any number in the
triangle is the sum of the two numbers above it.
1
1
1
1
2
1
1
3
3
1
1
4
6
4
1
1
5
10
10
5
1
1
6
15
20
15
6
1
1
7
21
35
35
21
7
1
Notice that Pascal’s triangle is the same if you read it left-to-right, or
right-to-left. Convince yourself that this is a consequence of the formula
n
n
=
.
k
n k
*
*
*
*
*
*
*
*
*
*
*
*
*
46
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education