If $\frac{1}{{b - a}} + \frac{1}{{b - c}} = \frac{1}{a} + \frac{1}{c}\;{\rm{and}}\;b \ne a + c,\;{\rm{then}}\;a,b,c$ are in

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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\frac{1}{{b - a}} + \frac{1}{{b - c}} = \frac{1}{a} + \frac{1}{c}\;\mathrm{and}\;b \ne a + c,\;\mathrm{then}\;a,b,c

are in

View answer and explanation

Correct option: C

Option C (HP) is correct because the given condition simplifies to

\frac{{2ac}}{{a + c}} = b

, which is the condition for a, b, c to be in HP.

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