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).`

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 .

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

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

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.

The (p+q)th term and (p-q)th terms of a G.P. are a and b respectively. Find the pth term.

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

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.

The 5th, 8th and 11th terms of a G.P. are P, Q and S respectively. Show that Q^(2)='PS .

If p^(th), q^(th), r^(th) , terms of a G.P. are the positive numbers a, b, c respectively then angle between the vectors log a^3 hat i + log b^3 hatj + log c^3 hatk and (q - r)hati + (r - p)hatj + (p - q) hatk is: (a) pi/2 (b) pi/3 (c) 0 (d) sin^(-1)""(1)/(sqrt(p^2 + q^2 + r^2))