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The sequence s1, s2, s3, ...sn, ...,sn,...is such that sn = \frac{1}{n} - \frac{1}{n + 1} 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{9}{10}?

(1) k > 10

(2) k < 19

  • 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: A

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