If the first term and common ratio of a G.P are both `(1//2) (sqrt(3)+i)` , then the absolute value of its `n^(th)` term is

If the first term and common ratio of a G.P.are both ((1)/(2))(sqrt(3)+i), then the absolute value of its n term

The first term and common ratio of a G.P. are both positive. The product of first and second term is 9 and that of first and fourth term is 144. Find the third term.

If first term is 3 and common ratio is 3 then find the 6th term of G.P

The terms of a G.P. with first term a and common ratio r are squared. Is the resulting sequence also a G.P.? If its is so, find the its first term, common ratio and the nth term.

The first term of an A.P. is the same as that of a G.P., the common difference of the A.P. and the common ratio of the G.P. are both 2. If the sum of the first five terms of each series be the same, find the 6^(th) term of each series.

The terms of a G.P. with first term ‘a’ and common ratio ‘r’ are squared. Is the resulting sequence also a G.P. ? If it is so, find its first term, common ratio and the nth term.

If the first term, common ratio and the sum of first n terms of a G.P. be a, r and S_(n) respectively, find the value of S_(1) + S_(2) + S_(3) +….+S_(n) .

First term a and common ratio r = 1 then sum of n terms on G.P. is S_(n) = na .