For a sequence , if Sn = 5(4^(n) -1), fi...

For a sequence , if `Sn = 5(4^(n) -1),` find the `n^(th)` term, hence verify that it is a G.P., Also find r.

Verified by Experts

The correct Answer is:

`t _(n) = 15 ( 4 ^( n -1))`

Similar Questions

Explore conceptually related problems

For a sequence, if S_n = (4^n - 3^n) / 3^n , find the nth term. Hence show that it is a G.P. Also find the common ratio.

For a sequence, if S_n = 3(2^n - 1) , find the nth term. Hence show that it a G.P. Also find the common ratio.

For a sequence, if S_n = 2(3^n - 1) , find the term, hence show that sequence is a G.P.

For a sequence, if S_n = 7 (4^n - 1) , find the t_n and show that the sequence is a G.P.

For sequence, if t_n = 5^(n-2)/7^(n-3) , Verify whether the sequence is a G.P If it is a G.P, find its first term and the common ratio

For a Sequence, s_n = 4(7^n - 1) , verify that the Sequence is a G.P