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.

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 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.

If for a sequence {t _(n)} , t _(n) = (5 ^( n -2))/( 4 ^( n - 3)) show that the sequence is a G.P. Find its first term and the common ratio.

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

If for a sequence (t_n) , S_n = 2n^2 + 5 , find t_n and show that the sequence is an A.P.

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