2013-07-08 10:00:00 来源: Collegeboard 责编:楷维留学指南
2013年7月4日SAT考试官方每日一题
真题类型:Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
,
,
,
, ...
The first four terms of a sequence are shown above. Which of the following could be the formula that gives the
th term of this sequence for all positive integers
?
(A) ![]()
(B) ![]()
(C) ![]()
(D) ![]()
(E) ![]()
2013年7月6日SAT考试官方每日一题答案:E
解析:
If a formula gives the
th term of the sequence for all positive integers
, it must give the
th term of the sequence for
. If
, then
and
, but the first term of the sequence is
, so the general formula cannot be
or
. Also, if
, then
and
, but the third term of the sequence is
, so the general formula cannot be
or
. However, for
, the values of
are
,
,
,
, respectively. Therefore, the general formula for this sequence could be
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