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

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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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本试题收录于： GRE QUANTITATIVE题库GRE分类

GRE QUANTITATIVE

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

GRE QUANTITATIVE

GRE

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Asanyworkingmumcantellyou,runningabusinessandafamilyatthesametimeisanalmostimpossibleact.Therearenevere

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