" If "a,b,c" are three consecutive terms of an "AP" and "x,y,z" are three consecutive terms of a GP,then the value of "x^(b-c)*y^(c-a)*z^(a-b)" is "

If (1)/(a+b),(1)/(2b),(1)/(b+c) are three consecutive terms of an A.P.prove that a,b,c are the three consecutive terms of a G.P.

If a,b, and c are three consecutive terms of an A.P, prove that k^(a),k^(b) and k^(c) are three consecutive terms of a G.P. Assume k to be a non zero real number.

If 2nd, 3rd and 6th terms of an AP are the three consecutive terms of a GP then find the common ratio of the GP.

If a,b and c are three consecutive terms in the expansion of (1+x)^(n), then find n.

If a,b,c are respectively the xth, yth and zth terms of a G.P. then the value of (y-z)log a + (z-x)log b+(x-y) logc :

If a, b, c are in A.P. and x, y, z are in G.P., then prove that : x^(b-c).y^(c-a).z^(a-b)=1

If a ,b ,c ,d are four consecutive terms of an increasing A.P., then the roots of the equation (x-a)(x-c)+2015(x-b)(x-d)=0 are

If a,b,c,d are in A.P.and x,y,z are in G.P. then show that x^(b-c)*y^(c-a)*z^(a-b)=1

Let a, b and c be the 7th, 11th and 13th terms respectively of a non-constant AP. If these are also the three consecutive terms of a GP, then (a)/(c) is equal to