[" Let "a_(1),a_(2),a_(3),..." be a G.P.such that "a_(1)<0,a_(1)+a_(2)=4" and "a_(3)+a_(4)=16." If "sum_(i=1)^(9)a_(i)=4 lambda],[" then "lambda" is equal to: "]

Let a_(1),a_(2),a_(3),...... be an A.P.such that (a_(1)+a_(2)+......+a_(p))/(a_(1)+a_(2)+a_(3)+......+a_(q))=(p^(3))/(q^(3));p!=q Then (a_(6))/(a_(21)) is equal to:

Let a_(1),a_(2),a_(3),... be a G.P such that log_(10)(a_(m))=(1)/(n) and log_(10)(a_(n))=(1)/(n) then

let a_(1),a_(2),a_(3)...... be an AP such that (a_(1)+a_(2)+............+a_(p))/(a_(1)+a_(2)+............+a_(q))=(p^(3))/(q^(3)) then a_(/)a_(21)

let a_(1),a_(2),a_(3),........., be an AP such that (a_(1)+a_(2)+a_(3)+.........+a_(p))/(a_(1)+a_(2)+a_(3)+.........+a_(q))=(p^(3))/(q^(3))(p!=q) then find (a_(6))/(a_(21))=?

a_(1),a_(2),a_(3)...,a_(n) are in A.P.such that a_(1)+a_(3)+a_(5)=-12 and a_(1)a_(2)a_(3)=8 then:

Let a_(1),a_(2),a_(3),...a_(n) be an AP.Prove that: (1)/(a_(1)a_(n))+(1)/(a_(2)a_(n-1))+(1)/(a_(3)a_(n-2))+......+(1)/(a_(n)a_(1))=

Let a_(1),a_(2),a_(3),….,a_(4001) is an A.P. such that (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+...+(1)/(a_(4000)a_(4001))=10 a_(2)+a_(400)=50 . Then |a_(1)-a_(4001)| is equal to

Let a_(1),a_(2),a_(3),….,a_(4001) is an A.P. such that (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+...+(1)/(a_(4000)a_(4001))=10 a_(2)+a_(4000)=50 . Then |a_(1)-a_(4001)| is equal to

Let a_(1),a_(2),a_(3),….,a_(4001) is an A.P. such that (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+...+(1)/(a_(4000)a_(4001))=10 a_(2)+a_(4000)=50 . Then |a_(1)-a_(4001)| is equal to