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Number-Theory · Sequences

Fib(40)

40

Inyathelo ngenyathelo

  1. F_0 = 0,; F_1 = 1

    Each Fibonacci number is the sum of the two before it.

  2. F_{2} = F_{1} + F_{0} = 1

  3. F_{3} = F_{2} + F_{1} = 2

  4. F_{4} = F_{3} + F_{2} = 3

  5. F_{5} = F_{4} + F_{3} = 5

  6. F_{6} = F_{5} + F_{4} = 8

  7. F_{7} = F_{6} + F_{5} = 13

  8. F_{8} = F_{7} + F_{6} = 21

  9. \vdots

  10. F_{39} = F_{38} + F_{37} = 63245986

  11. F_{40} = F_{39} + F_{38} = 102334155

Bonisa impendulo
F_{40} = 102334155