Let `G_1, G_2` be the geometric means of two series `x_1, x_2, ..., x_n; y_1, y_2, ..., y_n`.If `G` is the geometric mean of `x_i/y_i,` i = 1,2,... n, then `G` is equal to

Let barx be the mean of x_1,x_2,.....x_3 and bary be the mean of y_1,y_2,....,y_n . If barz is the mean of x_1,x_2,.....,x_n,y_1,y_2,....y_n , then barz =

IF g_1,g_2g_3 are three geometric means between "m" and "n". Then g_1.g_3=g_2^2 =…….

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:

Let barx be the mean of x_1,x_2,……,x_n and bary the mean of y_1,y_2……,y_n barz is the mean of x_1,x_2,…. ,x_n, y_1, y_2 is equal to :

If n_(1) and n_(2) are the sizes, G_(1) and G_(2) the geometric means of two series respectively, then which one of the following expresses the geometric mean (G) of the combined series?

Let a_(1), a_(2) ...be positive real numbers in geometric progression. For n, if A_(n), G_(n), H_(n) are respectively the arithmetic mean, geometric mean and harmonic mean of a_(1), a_(2),..., a_(n) . Then, 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)