Progressing over progressions

For two positive distinct real numbers let $A_1$ denote their arithmetic mean, $G_1$ their geometric mean and $H_1$ their harmonic mean respectively. For $n \ge 2$ let $A_n, G_n$ and $H_n$ denote the arithmetic, geometric and harmonic means respectively of $A_{n-1}$ and $H_{n-1}$ . Select the alternative(s) from the following options which are true:

$1. \ A_1 > A_2 > A_3 > \cdots > A_n$

$2. \ A_1 < A_2 < A_3 < \cdots < A_n$

$3. \ A_1 = A_2 = A_3 = \cdots = A_n$

$4. \ G_1 > G_2 > G_3 > \cdots > G_n$

$5. \ G_1 < G_2 < G_3 < \cdots < G_n$

$6. \ G_1 = G_2 = G_3 = \cdots = G_n$

$7. \ H_1 > H_2 > H_3 > \cdots > H_n$

$8. \ H_1 < H_2 < H_3 < \cdots < H_n$

$9. \ H_1 = H_2 = H_3 = \cdots = H_n$

Enter your answer as the N-digit concatenation of the numbers corresponding to the correct alternatives in the increasing order of their digits.

Example: If the alternatives 1 and 5 are true then enter 15, if only 4 is true then enter 4 and likewise.