If `x_1,x_2, x_3,......., x_n` are in AP, then the value if `1/(x_1x_2) +1/(x_2x_3)+ 1/(x_3x_4)+.......+1/(x_nx_(n-1))` is

If x_(1),x_(2),x_(3),"……" are in A.P., then the value of 1/(x_(1)x_(2))+1/(x_(2)x_(3))+1/(x_(3)x_(4))+"……"1/(x_(n-1)x_(n)) is :

If x_(1),x_(2),x_(3)...x_(n) are in H.P,then prove that x_(1)x_(2)+x_(2)x_(3)+xx x-3x_(4)+...+x_(n-1)x_(n)=(n-1)x_(1)x_(n)

If x_(1),x_(2),x_(3),.......x_(n) are the roots of x^(n)+ax+b=0, then the value of (x_(1)-x_(2))(x_(1)-x_(3))(x_(1)-x_(4))......(x_(1)x_(n)) is equal to

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

If x_(1),x_(2),x_(3),x_(n) are the roots of x^(n)+ax+b=0 then the value of (x_(1)-x_(2))(x_(1)-x_(3))(x_(1)-x_(4))......(x_(1)-x_(n)) is equal to

If x_(1), x_(2), x_(3) .................x_(n) are in H.P.then x_(1)x_(2)+x_(2)x_(3)+.......+x_(n-1)x_(n) =

If x_n > x_(n-1) > ..........> x_3 > x_1 > 1. then the value of log_(x1) [log_(x2) {log_(x3).........log_(x4) (x_n)^(x_(r=i))}]

If x_1,x_2,x_3….,x_n are in H.P. prove that x_1x_2+x_2x_3+x_3x_4+……….+x_(n-1)x_n=(n-1)x_1x_n

If x +(1)/(x) =2 , find the value of (x^2 +(1)/(x^2))(x^3 +(1)/(x^3))