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AP® Calculus AB-BC

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Moderate

A Sequence of Partial Sums

APCALC-LU1ULJ

Consider the series $\sum_{n=1}^{\infty }\frac{1}{n\left ( n+1 \right )}$. Find the first four partial sums for this series.

A

$1,3,6,10$

B

$1, \cfrac{1}{3}, \cfrac{1}{6}, \cfrac{1}{10}$

C

$\cfrac{1}{2},\cfrac{1}{6}, \cfrac{1}{12}, \cfrac{1}{20}$

D

$\cfrac{1}{2}, \cfrac{2}{3}, \cfrac{3}{4}, \cfrac{4}{5}$