【GMAT考满分数据洞察DS题库】The sequence _真题_答案

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The sequence $b_1, b_2, b_3,...,b_n,...$ such that $b_n = \frac{1}{n^{2}}-\frac{1}{(n+1)^{2}}$ for all integers $n \geq 1$ . If $k$ is a positive integer, is the sum of the first $k$ terms of the sequence greater than $\frac{31}{32}$ ?

(1) $k < 7$

(2) $k > 8$

AStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
BStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
CBOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
DEACH statement ALONE is sufficient.
EStatements (1) and (2) TOGETHER are not sufficient.

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正确答案: B

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