The sum of first n terms of a sequence is `5 (3^n -1)`, show that it is a G,P.

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

Find the first terem of the sequence: t_n=3n+1

Find the first terem of the sequence: t_n=4n-3

Find the first terem of the sequence: t_n1/n^2-1

If the sum of first p terms of an A.P is equal to the sum of the first q terms, then show that the sum of its first (p+q) terms is zero. (p ne q) .

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 the sum of first p terms of an A.P is equal to the sum of first q terms, then show that the sum of its first (p+q) terms is zero . (p ne q) .