Explanation
Since this sequence has 100 terms, and we want the 7th
term of the sequence, it's not clear whether we will be able to compute the 7th
in a reasonable amount of time, even if it's possible. Possibly, we will need
to confirm that the term can be
computed without actually computing it. Indeed, turning to the statements,
separately first, Statement (1) is giving us an idea that we can count
backward. If the 93rd term is -100, then the 92nd term is
-93, and the 91st term is -86. We could make an algebraic expression
to figure out what the 7th term is, or list it out. So Statement (1)
is sufficient. Statement (2), alone, gives us nothing, because without
Statement (1), we don't know how to get from one term of the sequence to the
next. So Statement (2) is insufficient. The correct answer is (A). This
question is a good example of how the data statements may essentially try to
lure you into evaluating them together before you have evaluated them
separately.
The correct answer is (A).
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