If `1/3, x, 1/2` are in A.P., find x.

If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are also in A.P. then show that x=y=z and y≠0

A triangle ABC is such that sin(2A+B) =1/2 and If A, B and C are in A.P., then find the value of A and C

If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,x+2b],[x+4,x+5,x+2c]| is:

If a,b,c 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 .

If a, b, c are in A.P., prove that : (bc)^-1,(ca)^-1 and (ab)^-1 are also in A.P.

If log_10 2, log_10(2^x- 1) and log_10(2^x+3) are in A.P., then find the value of x.

3,x,9 are in A.P . Find the value of x

If log_(3)2,log_(3)(2^(x)-5) and log_(3)(2^(x)-7/2) are in A.P., then x is equal to