Let A1,G1, H1 denote the arithmetic, geometric and harmonic means, respectively, of two distinct positive number. for n ≥ 2, let An - 1, and Hn -1 has arithmetic, geometric and harmonic means as An, Gn, Hn, respectively.
Which of the following statements is correct?
(a) H1 > H2 > H3 >....
(b) H1 < H2 < H3 < ....
(c) H1 > H3 > H5 > ....and H2 < H4 < H6 < ....
(d) H1 < H3 < H5 < ....and H2 > H4 > H6 > ....
