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 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 .

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

The first term of an A.P. whose 8th and 12th term are 39, 59 respectively.

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.

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

Sum of n-terms of a G.P. is ___.

The 5^(th), 8^(th) and 11^(th) terms of a G.P are p,q and s , respectively . Show that q^2 =ps .

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.