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For the sequence \(a_1, a_2, a_3 \cdots a_n,\) \(a_n\) is defined by \(a_n=\dfrac1{n}-\dfrac1{n+1}\) for each integer \(n\ge 1.\) What is the sum of the first \(100\) terms of this sequence?
A. \(\dfrac{100}{99}\)
B. \(\dfrac{101}{100}\)
C. \(\dfrac{100}{101}\)
D. \(\dfrac{99}{100}\)
E. \(\dfrac{999}{1010}\)
Answer: C
Source: Veritas Prep
A. \(\dfrac{100}{99}\)
B. \(\dfrac{101}{100}\)
C. \(\dfrac{100}{101}\)
D. \(\dfrac{99}{100}\)
E. \(\dfrac{999}{1010}\)
Answer: C
Source: Veritas Prep
