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For every integer \(k\) from \(1\) to \(10,\) inclusive the \(k \,th\) term of a certain sequence is given by \((-1)^{k+1}\cdot \dfrac1{2k}.\) If \(T\) is the sum of the first \(10\) terms in the sequence, then \(T\) is
A. Greater than \(2.\)
B. Between \(1\) and \(2.\)
C. Between \(\dfrac12\) and \(1.\)
D. Between \(\dfrac14\) and \(\dfrac12.\)
E. Less than \(\dfrac14.\)
Answer: D
Source: GMAT Prep
A. Greater than \(2.\)
B. Between \(1\) and \(2.\)
C. Between \(\dfrac12\) and \(1.\)
D. Between \(\dfrac14\) and \(\dfrac12.\)
E. Less than \(\dfrac14.\)
Answer: D
Source: GMAT Prep
