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

If for a sequence, t_n = 2^(n - 1) / 5^(n - 1) , show that the sequence is a G.P. Find its first term and common ratio.

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

If for a sequence, t_n = (-5)^(n+1) / 3^(n - 1) , show that the sequence is a G.P. Find its first term and common ratio.

If for a sequence, tn = 5^(n - 3) / 2^(n - 3) show that the sequence is a G.P. Find its first term and 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 = 3(2^n - 1) , find the nth term. Hence show that it a G.P. Also find the common ratio.

For the sequence, t_n = frac{5^(n-3)}{2^(n-3)} , show that the sequence is a G.P. Find its first term and the common ratio.