If A, G, H are the AM, GM, HM between a and b respectively then?(a) A, G, H are in hp(b) A, G, H are in gp(c) A, G, H are in ap(d) None of the mentionedI have been asked this question in examination.This interesting question is from Harmonic Sequences in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If A, G, H are the AM, GM, HM between a and b respectively then?(a) A,

1.	If A, G, H are the AM, GM, HM between a and b respectively then?(a) A, G, H are in hp(b) A, G, H are in gp(c) A, G, H are in ap(d) None of the mentionedI have been asked this question in examination.This interesting question is from Harmonic Sequences in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right option is (B) A, G, H are in GP Best explanation: A = (a+b)/2, G = (ab)^1/2, H = 2B/(a+b), clearly AxH = G^2 THUS A, G, H are in gp.

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