What is the harmonic series?
Q: What is the harmonic series?
A: The harmonic series is an infinite divergent series where each term is equal to 1 divided by its position in the sequence.
Q: What does it mean for a series to be divergent?
A: Divergent means that as you add more terms, the sum never stops getting bigger and does not go towards a single finite value.
Q: What does it mean for a series to be infinite?
A: Infinite means that you can always add another term and there is no final term to the series.
Q: Where did the name of this series come from?
A: The name of this series comes from the idea of harmonics in music, where the wavelengths of overtones are 1/2, 1/3, 1/4, etc., of the string's fundamental wavelength.
Q: What is a harmonic mean?
A: A harmonic mean is when every term in a sequence is equal to the harmonic mean of its neighboring terms. This phrase also comes from music.
Q: How do we calculate each term in this sequence?
A: Each term in this sequence can be calculated by dividing one by its position in the sequence (1/n).
