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.

If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, r are in

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+(p-q)c = 0

If pth, qth and rth terms of on AP are a. b and c, then show that a(q - r) + b(r - p) + c(p - q) = 0.

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 pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,q-r ,r-s are in a. A.P. b. G.P. c. H.P. d. none of these

If 4th,7th nd 10th term of G.P are x, y and z, then

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.

If the p^(th) , q^(th) and r^(th) terms of a G.P. are x , y , z respectively. then show that : x^(q-r) . y^(r-p).z^(p-q)=1

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

If the (m + 1)th, (n + 1)th and (r + 1)th terms of an A.P. are in G.P. and (1)/(m), (1)/(n), (1)/(r ) are in A.P., then find the ratio of the first term of the A.P. to its common difference in terms of n.