Look for the relationship between the rows and the number of elements in each row.
9
Practice makes perfect
There are two ways to approach this exercise. The first is to look at the patterns in the first five rows of Pascal's Triangle in the picture. The second is to complete the triangle to the eighth row.
Looking for Patterns
We can make a table of values to see the pattern between the number of elements in each row and the row number.
Row Number
Number of Elements
0
1
1
2
2
3
3
4
4
5
...
...
n
n+1
Since the number of elements is 1 more than to the row number in each row, there will be 9 elements in the eighth row.
Continuing Pascal's Triangle
Let's complete Pascal's triangle to the eighth row. To do so, we add the two numbers above to obtain the numbers for the next row. There are always 1's as the first and last element in each row.
There are 9 elements in the 8^(th) row of the triangle.
