if for a sequence `t_n=(-5)^(n+1)/3^(n-1)` show that the sequence is a GP then find 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, 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, 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.

If the sum of the first n terms of a sequence is 2(7^(n)-1)//3 show that it is a G.P. Also , 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

The nth term of a sequence is given by 2^(n+1)/3^n . Prove that it is a geometric sequence. Also find the first term and common ratio of it.