Mathematics - Sequence & Series Question with Solution | TestHub

Paragraph:Let $A_1,G_1,H_1$ denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For $n\ge 2$, let $A_{n-1}$ and $H_{n-1}$ has arithmetic, geometric and harmonic means as $A_n,G_n,H_n$, respectively.Question:Which of the following statements is correct?