Fibonacci sequence

  • Fibonacci Factors
    problem

    Fibonacci Factors

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    For which values of n is the Fibonacci number fn even? Which Fibonnaci numbers are divisible by 3?

  • Farey Fibonacci
    problem

    Farey Fibonacci

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    Investigate Farey sequences of ratios of Fibonacci numbers.

  • Fibonacci Fashion
    problem

    Fibonacci Fashion

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    What have Fibonacci numbers to do with solutions of the quadratic equation x^2 - x - 1 = 0 ?

  • Pythagorean Fibs
    problem

    Pythagorean Fibs

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    What have Fibonacci numbers got to do with Pythagorean triples?

  • Plus or Minus
    problem

    Plus or Minus

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Make and prove a conjecture about the value of the product of the Fibonacci numbers $F_{n+1}F_{n-1}$.

  • Golden Mathematics
    article

    Golden Mathematics

    A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers.