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If a1, a2, a3 are in GP then 1/a1, 1/a2, 1/a3 are in ___________

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If a1, a2, a3  are in GP then 1/a1, 1/a2, 1/a3   are  in ___________

(a) AP

(b) GP

(c) HP

(d) None of the mentioned

The question was asked during an interview.

I'm obligated to ask this question of Arithmetic and Geometric Mean topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Correct option is (b) GP

To explain: Let the terms be ar, a, a/r then reciprocals are 1/(ar), 1/a, r/a. Still the terms are in GP.

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