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Math · Intermediate

Sequences & Series

Add up 1 to 100 in seconds like Gauss, fold paper to the Moon, resolve Zeno's paradox, discover a sum that grows forever but agonizingly slowly, meet Fibonacci, the golden ratio and the number ee, work out what a mortgage really costs, and add fractions to reach π\pi.

8 lessons~40 min0/8 complete
Start courseHelpful background: Functions & Graphs
1

Sequences

Adding the same amount, or multiplying by it.

  1. Arithmetic SequencesGauss’s trick
  2. Geometric SequencesMultiplying each time
2

Infinite Series

Adding forever.

  1. Zeno’s ParadoxInfinite sums with finite answers
  2. Forever, SlowlyThe harmonic series
3

Famous Numbers

Fibonacci, φ and e.

  1. Fibonacci & φRabbits, spirals and the golden ratio
  2. The Number eCompounding without limit
4

Series at Work

Money and π.

  1. Loans & SavingsGeometric series in your bank account
  2. Series for πAdding fractions to reach a circle

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