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If the terms \(a, b, c\) are in Harmonic Progression (H.P.), then their reciprocals \(1/a, 1/b, 1/c\) are in...

  • A.Geometric progression
  • B.Harmonic progression
  • C.Arithmetic progression
  • D.None of the above

Answer: C

A harmonic progression is defined as a sequence whose reciprocals form an arithmetic progression.

\[ a, b, c \text{ in H.P.} \iff \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \text{ in A.P.} \]

This is why H.P. problems are almost always solved by inverting first.

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