" If "a_(1),a_(2),a_(3),......" are in "A,P," and "a_(1)>0" for each "i," then "sum_(i=1)^(n)(n)/(a_(i+1)^(2/3)+a_(i)^(2/3)+a_(i+1)^(1/3)a_(i)^(1/3))" is equal to "

If a_(1),a_(2),a_(3),... are in A.P.and a_(i)>0 for each i,then sum_(i=1)^(n)(n)/(a_(i+1)^((2)/(3))+a_(i+1)^((1)/(3))a_(i)^((1)/(3))+a_(i)^((2)/(3))) is equal to

If a_1,a_2,a_3,... are in A.P. and a_i>0 for each i, then sum_(i=1)^n n/(a_(i+1)^(2/3)+a_(i+1)^(1/3)a_i^(1/3)+a_i^(2/3)) is equal to (a) (n)/(a_(n)^(2//3)+a_(n)^(1//3)+a_(1)^(2//3)) (b) (n(n+1))/(a_(n)^(2//3)+a_(n)^(1//3)+a_(1)^(2//3)) (c) (n(n-1))/(a_(n)^(2//3)+a_(n)^(1//3)*a_(1)^(1//3)+a_(1)^(2//3)) (d) None of these

If a_(1),a_(2),a_(3), . .. . ,a_(n) are in A.P. and a_(i)gt0 for each i=1,2,3, . . ..,n, then sum_(r=1)^(n-1)(1)/(a_(r+1)^(2//3)+a_(r+1)^(2//3)a_(r)^(1//3)+a_(r)^(1//3)) is equal to

If a_(1),a_(2),a_(3),....,a_(4001) are terms of AP such that sum_(i=1)^(4000)(1)/(a_(i)a_(i+1))=108a_(2)+a_(4000)=50 then |a_(1)-a_(4000)|=

If n>=3 and a_(1),a_(2),a_(3),.....,a_(n-1) are n^(th) roots of unity,then the sum of sum_(1<=i

Let a_(1),a_(2),a_(3),"......"a_(10) are in GP with a_(51)=25 and sum_(i=1)^(101)a_(i)=125 " than the value of " sum_(i=1)^(101)((1)/(a_(i))) equals.

Let a_(1),a_(2),a_(3),"......"a_(10) are in GP with a_(51)=25 and sum_(i=1)^(101)a_(i)=125 " than the value of " sum_(i=1)^(101)((1)/(a_(i))) equals.

Let a_(1),a_(2),a_(3),"......"a_(10) are in GP with a_(51)=25 and sum_(i=1)^(101)a_(i)=125 " than the value of " sum_(i=1)^(101)((1)/(a_(i))) equals.

Let a_(1),a_(2),a_(3),"......"a_(10) are in GP with a_(51)=25 and sum_(i=1)^(101)a_(i)=125 " than the value of " sum_(i=1)^(101)((1)/(a_(i))) equals.

If a_(1), a_(2), a_(3), ……. , a_(n) are in A.P. and a_(1) = 0 , then the value of (a_(3)/a_(2) + a_(4)/a_(3) + .... + a_(n)/a_(n - 1)) - a_(2)(1/a_(2) + 1/a_(3) + .... + 1/a_(n - 2)) is equal to