Mathematical induction

  • Converging Product
    problem

    Converging product

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    In the limit you get the sum of an infinite geometric series. What about an infinite product (1+x)(1+x^2)(1+x^4)... ?
  • Symmetric Tangles
    article

    Symmetric tangles

    The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!