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Patterns in Pascal's Triangle Project Description Prerequisites Warm up Problems Hints Resources Teaching Notes Extension Problems Results

Printable Version
Printable Version

Patterns in Pascal’s Triangle Project

The First Six Rows of Pascal's Triangle

  1. How many odd numbers are in the 100th row of Pascal’s triangle?
  2. How many entries in the 100th row of Pascal’s triangle are divisible by 3? By 5?
  3. When you divide a number by 2, the remainder is 0 or 1. Color the entries in Pascal’s triangle according to this remainder. You get a beautiful visual pattern. Can you explain it? Can you generate the pattern on a computer?
  4. What about the patterns you get when you divide by other numbers? When you divide a number by 3, the remainder is 0, 1, or 2. Divide the entries in Pascal’s triangle by 3 and color them according to their remainder. Can you explain your picture?

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