Mathematics
Let \(A_{1},G_{1}\) and \(H_{1}\) denote the arithmetic, geometric and
harmonic means . respectively of two distinct positive numbers. For
\(n \geq 2\) let \(A_{n - 1}\) and \(H_{n - 1}\) have . arithmetic,
geometric and harmonic means as \(A_{n},G_{n},H_{n}\) respectively.
A
\(G_{1} > G_{2} > G_{3} > \ldots\)
B
\(G_{1} < G_{2} < G_{3} < \ldots\)
C
\(G_{1} = G_{2} = G_{3}\ldots\)
D
\(G_{1} < G_{3} < G_{5}\ldots\) and \(G_{2} > G_{4} > G_{6}\ldots\)
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