Page 106 - NUMINO Challenge_D1
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Basic Concepts Pascal's Triangle
Pascal's Triangle is an arrangement in which numbers are placed in a
triangular pattern.
1
11
1 21
1 3 31
14 6 41
Europeans first heard of this triangle from the Chinese, but it was named
after the French mathematician Blaise Pascal, who discovered its many
interesting patterns. The triangle's pattern is simple, but its various
characteristics can be used to solve complicated math problems.
Example This drawing is part of Pascal' s 1
Triangle. Find the pattern and fill in 11
the correct numbers in the white 12 1
triangles. 1 3 31
1 4641
11
11
11
Class Notes 1
The first number in each row is always . 11
The numbers in the middle are always the 121
of the two numbers above it.
Therefore, the number that goes in A is 1 331
. Use this pattern to fill in the 1 4641
correct numbers in the white triangles.
1A 1
1 1
11
Try It Again Use Pascal' s Triangle to write the numbers in the 10th row,
starting from 1.
103Number Theory
Pascal's Triangle is an arrangement in which numbers are placed in a
triangular pattern.
1
11
1 21
1 3 31
14 6 41
Europeans first heard of this triangle from the Chinese, but it was named
after the French mathematician Blaise Pascal, who discovered its many
interesting patterns. The triangle's pattern is simple, but its various
characteristics can be used to solve complicated math problems.
Example This drawing is part of Pascal' s 1
Triangle. Find the pattern and fill in 11
the correct numbers in the white 12 1
triangles. 1 3 31
1 4641
11
11
11
Class Notes 1
The first number in each row is always . 11
The numbers in the middle are always the 121
of the two numbers above it.
Therefore, the number that goes in A is 1 331
. Use this pattern to fill in the 1 4641
correct numbers in the white triangles.
1A 1
1 1
11
Try It Again Use Pascal' s Triangle to write the numbers in the 10th row,
starting from 1.
103Number Theory
