Here
are just a few of some different patterns that you can find in Pascal's
Triangle:
The Hockey
Stick Pattern:
With the Hockey
Stick pattern, you can add any numbers in the triangle. They are added
up in a hockey stick-like shape.
The hockey stick
can keep continuing and the pattern will still work correctly.
The Prime
Number pattern:
If the 1st element (number besides one)
in a row is a prime number, all the numbers in that row (excluding the
1's) are divisible by it. For example, in row 7 (1 7 21 35 35 21 7 1) 7,
21, and 35 are all divisible by 7.
The Powers of 2 pattern:
The sum of the numbers in any row is equal to 2 to
the nth power or 2n, when n is the number
of the row. For example:
20 = 1 (row 0)
21 = 1+1 = 2 (row 1)
22 = 1+2+1 = 4 (r 2)
23 = 1+3+3+1 = 8 (r 3)
24 = 1+4+6+4+1 = 16 (r 4) |
