What percentage of the numbers in Pascal’s Triangle are even? 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.

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Presentation transcript:

What percentage of the numbers in Pascal’s Triangle are even?

Pascal’s Triangle E + O = O O + E = O E + E = E O + O = E O O O E OO E O O O O E E E O O O E E O O O E O E O E O O O O O

3

Rows Proportion (evens) 8 9/36 = /136 = /528 = /2080 = /8256 = /32896 = / =.850

Rows Proportion (evens) 1, / =.888 2, / =.916 4, / =.937 8, / = , / = , / = , / =.980

Rows Proportion (evens) Based upon a geometric estimate 131, / = , / = ,288* =.991 1,048,576* =.994