Let `a_(1),a_(2),....,` an be in A.P.If `a_(5)=2a_(7)` and `a_(11)=18`,then
`12((1)/((sqrt(a_(10)))+sqrt(a_(11)))+(1)/((sqrt(a_(11))+sqrt(a_(12))))+ . . . +1/(sqrta_17+sqrta_18)` is equal to _____

If a_(1),a_(2),a_(3),......,a_(n) are in A.P. Where a_(k)>0AA K and sum_(K=2)^(n)(1)/(sqrt(a_(K-1))+sqrt(a_(K)))=(L)/(sqrt(a_(1))+sqrt(a_(n))) then L=

Let a_(1),a_(2),a_(3),...,...,a_(49),a_(50) are in airthmetic progression. If a_(1)=4 and a_(50)=144 ,then the value of , (1)/(sqrt(a_(1))+sqrt(a_(2)))+(1)/(sqrt(a_(2))+sqrt(a_(3)))+(1)/(sqrt(a_(3))+sqrt(a_(4)))cdots+(1)/(sqrt(a_(49))+sqrt(a_(50))) is equal to

If a_(1),a_(2),a_(3),"….",a_(n) are in AP, where a_(i)gt0 for all I, the value of (1)/(sqrta_(1)+sqrta_(2))+(1)/(sqrta_(2)+sqrta_(3))+"....."+(1)/(sqrta_(n-1)+sqrta_(n)) is

If a_(1),a_(2),a_(3),a_(n) are in A.P,where a_(i)>0 for all i, show that (1)/(sqrt(a_(1))+sqrt(a_(2)))+(1)/(sqrt(a_(2))+sqrt(a_(3)))++(1)/(sqrt(a_(n-1))+sqrt(a_(n)))=(n-1)/(sqrt(a_(1))+sqrt(a_(n)))

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:

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+...a_(2n)x^(2n), then sqrt(a_(0))+sqrt(a_(1))+sqrt(a_(2))+...+sqrt(a_(2n)) is

If a_(r)>0,r in N and a_(1)*a_(2),....a_(2n) are in A.P then (a_(1)+a_(2))/(sqrt(a)_(1)+sqrt(a)_(2))+(a_(2)+a_(2n-1))/(sqrt(a)_(2)+sqrt(a)_(3))+...+(a_(n)+a_(n+1))/(sqrt(a)_(n)+sqrt(a)_(n+1))=