The sequence $$s_1$$, $$s_2$$, $$s_3$$, ... , $$s_n$$, ... is such that $$s_n= \frac{1}{n} -\frac{1}{n+1}$$ 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.