Home
Class 12
MATHS
Let S(1), S(2),…, S(101) be consecutive ...

Let `S_(1), S_(2),…, S_(101)` be consecutive terms of an AP. If `(1)/(S_(1)S_(2)) + (1)/(S_(2)S_(3)) +...+ (1)/(S_(100)S_(101)) = (1)/(6) and S_(1) + S_(101) = 50`, then `|S_(1) - S_(101)|` is equal to a)10 b)20 c)30 d)40

A

10

B

20

C

30

D

40

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If S_(1), S_(2) , and S_(3) are, respectively, the sum of n, 2n and 3n terms of a G.P., then (S_(1)(S_(3)-S_(2)))/((S_(2)-S_(1)^(2)) is equal to

Let S_(n) denote the sum of first n terms of an A.P . If S_(2n) = 3S_(n) then find the ratio S_(3n)//S_(n) .

If S_(n) , denotes the sum of first n terms of a A.P. then (S_(3n)-S_(n-1))/(S_(2n)-S_(2n-1)) is always equal to

If s _(n) = cos ((n pi)/(10)), n = 1,2,3,..., then the value of of (s _(1) s _(2) ...s _(10))/( s _(1) + s _(2) + ....+ s _(10)) is equal to

If S_1,S_2 and S_3 are respectively the sums of n, 2n and 3n terms of an AP.Prove that S_3=3(S_2-S_1)

Let S={(1,2),(2,3),(3,4)}. Find S^-1

If S = (2^(2)-1)/(2)+(3^(2)-2)/(6)+(4^(2)-3)/(12)+ cdots upto 10 terms then S is equal to

The sets S_(1),S_(2),S_(3),… are given by S_(1)={(2)/(1)} , S_(2)={(3)/(2),(5)/(2)} , S_(3)={(4)/(3),(7)/(3),(10)/(3)} , S_(4)={(5)/(4),(9)/(4),(13)/(4),(17)/(4)},... Then, the sum of the numbers in the set S_(25) is

Let S_(n) denote the sum of first n terms of an AP and S_(2n) = 3S_(n) . If S_(3n) = k S_(n) , then the value of k is equal to