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 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

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 sum of the first three terms of an A.P is 33 . If the product of the first terms and third term exceeds the 2nd term by 29 then find the A.P . The pth qth and rth term of an A.P . Are a b and c respectively . Prove that a (q-r)+ b(r-P)+c(p-q)=0

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

The 4^(th) and 9^(th) terms of a G.P. Are 54 and 13122 respectively .Find the 6^(th) term .

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

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 , 7 th and 10th term of a G.P. be a,b,c respectively, then the relation between a,b,c is :

If pth, qth and rth terms of a HP be respectively a,b and c , has prove that (q-r)bc+(r-p)ca+(p-q)ab=0 .

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.