If p,q and r are in A.P., show that the pth , qth and rth terms of any G.P. are in G.P.

If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

If a, b and c are respectively the p^(th) , q^(th) and r^(th) terms of an A.P., then |(a" "p" "1),(b" "q" "1),(c" "r" "1)|=

Sum of n-terms of a G.P. is ___.

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to x y z b. 0 c. 1 d. none of these

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 x, y and z are pth, gth and rth terms respectively of an A.P and also of a G.P. then x^(y-z)*y^(z-x)*z^(x-y) is equal to

Find the value of the determinant |b cc a a b p q r1 1 1|,w h e r ea ,b ,a n dc are respectively, the pth, qth, and rth terms of a harmonic progression.

If the pth, qth, and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is a. (p r)/(q^2) b. r/p c. (q+r)/(p+q) d. (q-r)/(p-q)

If a gt 0, b gt 0, c gt0 are respectively the pth, qth, rth terms of a G.P., then the value of the determinant |(log a,p,1),(log b,q,1),(log c,r,1)| , is