Let A 1 , G 1 and H 1 denote the arithmetic, geometric and harmonic means respectively of…
Mathematics · JEE Advanced · NTA Exams — Progression and Series
Let A1, G1 and H1 denote the arithmetic, geometric and harmonic means respectively of two distinct positive numbers. For n ≥ 2 let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectively.
Which of the following statements is correct?
Which of the following statements is correct?
- H1 > H2 > H3 > ....
- H1 < H2 < H3 < ....
- H1 > H3 > H5 > .... and H2 < H4 < H6 < ....
- H1 < H3 < H5 < .... and H2 > H4 > H6 > ....
Answer
(C) H 1 > H 3 > H 5 > .... and H 2 H 4 H 6 < ....
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