2. 外语
  3. What is the first term of a sequence of consecutive odd integers of increasing value? (1)The range of the sequence is 14. (2)The

What is the first term of a sequence of consecutive odd integers of increasing value? (1)The range of the sequence is 14. (2)The

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问题 What is the first term of a sequence of consecutive odd integers of increasing value?
(1)The range of the sequence is 14.
(2)The sum of the sequence is 16.
选项 A、Statement (1) ALONE is sufficient, but statement (40) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (39) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (40) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(40)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案C
解析 连续递增的奇数序列的首项是多少?对于Statement (1)，range=14，只能说明这个序列有8个数，无法确定首项。对于Statement (2)，sum=16，由于公差为2，根据S=n(a1+an)=na1+n(n-1)，有两个未知数，因此无法确定首项。把两者结合起来，根据Statement (1)序列个数n已经确定，代入Statement (2)中的求和公式可以求得首项，因此答案为C。
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