The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560, respectively. Find the first term and the number of terms in G.P.

The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.

If the second and fifth terms of a G.P. are 24 and 3 respectively, then the sum of first six terms is

If 10^(th) term and the 18^(th) term of an A.P. are 25 and 41 respectively, then find the 38^(th) term.

Sum to infinite number of terms of a G.P. is ….

The first and last term of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.

The first and second term of a G.P. are x^(-4) and x^(n) respectively. If x^(52) is the 8^(th) term, then find the value of n.

If a and l are first and last terms of an A.P. then the number of terms is ….

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .