If the sum of five consecutive even integers is 70, what is the value of the gre

游客2024-01-12 42

问题 If the sum of five consecutive even integers is 70, what is the value of the greatest of the five integers.

选项 A、12
B、14
C、18
D、20
E、22

答案 C

解析若5个连续偶数(consecutive even integer)的和为70，则5个数中数值最大的数是多少?
解：本题的正确答案为(C)。5个连续偶数构成了一个公差等于2的等差数列。对于等差数列有如下性质：[*]。对这5个连续偶数应用此公式可得：a1+a5=a2+a4=2a3，因此这5个数的和=5a3=70，所以a3=14，最大数=a5=(14+4)=18。

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