The geometric mean of `3,3^2,....,3^n` is

.Let a_1, a_2,............ be positive real numbers in geometric progression. For each n, let A_n G_n, H_n, be respectively the arithmetic mean, geometric mean & harmonic mean of a_1,a_2..........a_n. Find an expression ,for the geometric mean of G_1,G_2,........G_n in terms of A_1, A_2,........ ,A_n, H_1, H_2,........,H_n.

Find the Geometric mean of 3, 9, 27.

The geometric mean of numbers 7, 7^(2),7^(3),…,7^(n), is

The geometric mean of (x _(1) , x _(2), x _(3), ... X _(n)) is X and the geometric mean of (y _(1), y _(2), y _(3),... Y _(n)) is Y. Which of the following is/are correct ? 1. The geometric mean of (x _(1) y _(1), x _(2) y _(2) . x _(3) y _(3), ... x _(n) y _(n)) is XY. 2. The geometric mean of ((x _(1))/( y _(1)) , ( x _(2))/( y _(2)), (x _(3))/( y _(3)) , ... (x _(n))/( y _(n))) is (X)/(Y). Select the correct answer using the code given below:

Geometric mean of 3, 9 and 27, is

Find the geometric means of the following pairs of number: a^(3)b and ab^(3).