Show that the products of the corresponding terms of the sequences a, `a r ,a r^2,dotdotdot,a r^(n-1)`and `A ,A R ,A R^2,dotdotdot,A R^(n-1),`form a G.P, and find the common ratio.

Show that the products of the corresponding terms of the sequences a ,\ a r ,\ a r^2,ddot,\ a r^(n-1)\ a n d\ A ,\ A R ,\ A R^2,\ ,\ A R^(n-1)\ form a G.P. and find the common ratio.

Prove that the sum of n terms of the reciprocals of the terms of the series a, ar, ar^(2),…" is "(1-r^(n))/(a(1-r)r^(n-1))

Show that the ratio of the sum of first n terms of a G.P. and the sum of (n+1)th term to (2n)th term is (1)/(r^(n)) .

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+1)^(t h) to (2n)^(t h) term is 1/(r^n)

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+1)^(t h) to (2n)^(t h) term is 1/(r^n)

If S be the sum, p the product and R the sum of the reciprocals of n terms of a G.P., then (S/R)^n is equal to

Let S be the sum, P the product, and R the sum of reciprocals of n terms in a G.P. Prove that P^2R^n=S^ndot

If S be the sum P the product and R be the sum of the reciprocals of n terms of a GP then p^2 is equal to S//R b. R//S c. (R//S)^n d. (S//R)^n

Let S be the sum, P be the product and R be the sum of the reciprocals of 3 terms of a G.P. then P^2R^3: S^3 is equal to (a) 1:1 (b) (common ratio)^n :1 (c) (First term)^2(common ratio)^2 (d) None of these

if S is the sum , P the product and R the sum of reciprocals of n terms in G.P. prove that P^2 R^n=S^n