if `a, b, c` are the `pth,qth` and `rth` terms of both an `A.P.` and also of a `G.P.` then `a^(b-c)*b^(c-a)*c^(a-b)`

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 a.x y z b. 0 c. 1 d. none of these

If pth, qth and rth terms of an A.P. and G.P. are both a,b and c respectively, show that a^(b-c).b^(c-a).c^(a-b)=1

If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-a) + r(a-b) equals to :

If the pth, qth and rth terms of a G.P. are a,b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

If a,b,c are in A.P. as well as in G.P. then

Let a,b,c are 7^(th), 11^(th) and 13^(th) terms of constant A.P if a,b,c are also is G.P then find (a)/(c ) (a) 1 (b) 2 (c) 3 (d) 4

(iii) If a,bc are respectively the pth,qth and rth terms of the given G.P. then show that (q-r)log a+(r-p)log b+(p-q)log c=0, where a,b,c>0.