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If a, b, and c are in harmonic progression, then e raised to the power of -a, e raised to the power of -b, and e raised to the power of -c will be in which progression?

1. Arithmetic progression
2. Geometric progression
3. Harmonic progression
4. None of the above

Correct answer: Arithmetic progression

Solution

If a, b, and c are in harmonic progression, then e raised to the power of -a, e raised to the power of -b, and e raised to the power of -c will be in arithmetic progression because the exponential function is the inverse of the logarithmic function.

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