If the pth, th, rth terms of a G.P. are x, y, z respectively, prove that `x^(q-r).y^(r-p) .z^(p-q) = 1`.

If the p t h ,\ q t h\ a n d\ r t h terms of a G.P. are a ,\ b ,\ c respectively, prove that: a^((q-r))dot^b^((r-p))dotc^((p-q))=1.

If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then write the value of x^(q-r) y^(r-p) z^(p-q).

The 3rd, 7th and 11th terms of a G.P. are x, y and z respectively, then prove that y^(2)= xz.

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

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that (i) a(q-r)+b(r-p)+c(p-q)=0

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

If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, then show that (1) a(q-r)+b(r-p)+c(p-q)=0 (2)(a-b)r+(b-c)p+(c-a)q=0

If the pth, qth and rth terms of a G.P, are x,y and z repectively, then prove that |{:(logx,p,1),(logy,q,1),(logz,r,1):}|=0

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 .

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