Pascal’s Triangle

Pascal's triangle is a triangular array of the binomial coefficients. each number is the sum of the two numbers directly above it.
Pascal's triangle has many properties and contains many patterns of numbers.

  • The sum of the elements of row n is equal to 2n.
  • It is equal to the sum of the top sequences.
  • The 1st line = only 1's.
    The 2nd line = the natural numbers in order.
    The 3rd line = the triangular numbers in order.
    The 4th line = the tetrahedral numbers in order.
  • Fibonacci numbers