Let `x_(1),x_(2),...` be positive integers in A.P.,such that `x_(1)+x_(2)+x_(3)=12` and `x_(4)+x_(6)=14` then `x_(5)` is

x_(1),x_(2),x_(3)"…." are in A.P. If x_(1)+x_(7)+x_(10)=-6 and x_(3)+x_(8)+x_(12)=-11 , then x_(3)+x_(8)+x_(22) =

Let x_(1)x_(2)x_(3)x_(4)x_(5)x_(6) be a six digit number find the number of such numbers such that x_(1)

If x_(1),x_(2),x_(3) and x_(4) are positive real numbers such that x_(1)x_(2)x_(3)x_(4)=1, then the least value of (1+x_(1))(1+x_(2))(1+x_(3))(1+x_(4)) is

"Let "x_(1)x_(2)x_(3)x_(4)x_(5)x_(6)" be a six digit number. Find the number of such numbers such that "x_(1) < x_(2) < x_(3) le x_(4) < x_(5) < x_(6)" is

Let x_(1),x_(2),…..,x_(n) be is an AP . If x_(1)+x_(4)+x_(9)+x_(11)+x_(20)+x_(22)+x_(27)+x_(30)= 272 , then x_(1)+x_(2)+x_(3)+…+x_(30) is equal to

Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x_(1) , x_(2) , x_(3) be integers such that x_(1)x_(2)x_(3)=y , then the number of positive integral solutions of x_(1)x_(2)x_(3)=y is

Let (1)/(x_(1)), (1)/(x_(2)), (1)/(x_(3)) .... (x_(i) ne 0 for i = 1,2,....n)be in A.P.such that x_(1) = 4 and x_(21) = 20 .If n is the least positive integer for which x_(n) gt 50 , then sum_(i = 1)^(n) ((1)/(x_(i))) is equal to .

The number of total positive integral solutions of the system of equations x_(1)+x_(2)+x_(3)+x_(4)+x_(5)=16 and x_(1)+x_(2)+x_(3)=7 is