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The series a,(a+b)/2, b is in _______

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The series a,(a+b)/2, b is in _______

(a) AP

(b) GP

(c) HP

(d) None of the mentioned

I had been asked this question by my school principal while I was bunking the class.

Question is taken from Arithmetic and Geometric Mean in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Best answer
Right choice is (a) AP

Easiest explanation: (a+b)/2 is AM between a, b. Hence series is in AP.

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