If `p^(th), q^(th), r^(th) and s^(th)` terms of an A.P. are in G.P, then show that (p – q), (q – r), (r – s) are also in G.P.

Sum of 25^(th) and 5^(th) elements of an A.P is

The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectively. Show that (q-r) a+(r-p) b+(q-p)c = 0

The pth, (2p)th and (4p)th terms of an AP, are in GP, then find the common ratio of GP.

If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.

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

If the 2nd , 5th and 9th terms of a non-constant A.P are in G.P then the common ratio of this G.P is

Find the 9^(th)andn^(th) term of the G.P.3,6,12,24……

If the pth, qth and rth terms of a G.P. are , l,m,n respectively , then l^(q-r)m^(r-p)n^(p-q) is :

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 fourth seventh and tenth terms of a G.P. are p,q,r respectively, then :