For what values of x, the terms 4/3 , x, 4/27 are in G.P?

Find the value of the determinant |(4,3),(2,7)|

The numbers 3,x and (x+6) form are in G.P. find x

If the adjoint of a 3x3 matrix P is [(1,4,4),(2,1,7),(1,1,3)] , then the possible value/s of the determinant of P is/are (A) +-2 (B) +-1 (C) +-4 (D) +-3

For a G.P. sum of first 3 terms is 125 and next 3 terms is 27. Find the value of r

Determine whether the sum to infinity of the following G.P.'s exist. In the case they exist, find them: 4, 4/3, 4/9, 4/27, 4/81…

Determine whether the sum to infinity of the following G.P. exist, if exist find them: 2 , 4/3 , 8/9 , 16/27 , ............

The p.m.f. of a.r.v. X is as follows: P( X=0) = 3k^ (3), P(X=1) = 4k-10k^ (2) , P(X=2)=5k-1, P(X=x)=0 for any other value of x, then value of k is