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Difficulty—
The sequence \(S\) is defined as follows for all \(n \ge 1:\)
\(S_n=(-1)^n\cdot \dfrac1{n(n+1)}\)
The sum of the first \(10\) terms of \(S\) is:
(A) Between –1 and –1/2
(B) Between –1/2 and 0
(C) Between 0 and 1/2
(D) Between 1/2 and 1
(E) Greater than 1
[spoiler]OA=B[/spoiler]
Source: Manhattan GMAT
\(S_n=(-1)^n\cdot \dfrac1{n(n+1)}\)
The sum of the first \(10\) terms of \(S\) is:
(A) Between –1 and –1/2
(B) Between –1/2 and 0
(C) Between 0 and 1/2
(D) Between 1/2 and 1
(E) Greater than 1
[spoiler]OA=B[/spoiler]
Source: Manhattan GMAT
