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If a, b, c are in hp, then b is related with a and c as _________

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If a, b, c are in hp, then b is related with a and c as _________

(a) 2(^1⁄b) = (^1⁄a + ^1⁄c)

(b) 2(^1⁄c) = (^1⁄b + ^1⁄c)

(c) 2(^1⁄a) = (^1⁄a + ^1⁄b)

(d) None of the mentioned

I had been asked this question in my homework.

The question is from Harmonic Sequences in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Correct option is (a) 2(^1⁄b) = (^1⁄a + ^1⁄c)

The best explanation: ^1⁄a, ^1⁄b, ^1⁄c willl be in airthmentic series and ^1⁄b will be the AM of a, c.

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