If the sum of the first n terms of the series `a + ar + ar^(2) +…+ ar^(n-1) +… oo` is `(a)/(1-r)`, then -

The sum of first n terms of the series a + ar + ar^(2) +…+ ar^(n-1) +… oo is -

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))

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))

The geometric mean of the first n terms of the G.P. a,ar,ar^2 ,….is

Find the G.M. of n observations a, ar, ar^2..., ar^(n-1)

Show that the products of the corresponding terms of the sequence a,ar, ar^(2),… ar^(n-1) and A,AR, AR^(2),…AR^(n-1) from a G.P. and find the common ratio.

Show that the products of the corresponding terms of the sequence a,ar, ar^(2),… ar^(n-1) and A,AR, AR^(2),…AR^(n-1) from a G.P. and find the common ratio.

Find the G.M. of n observations a, ar, ar^2 ,…………..ar^(n-1) .