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[GRE数学] GRE数学平均数问题备考解析

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  下面为大家介绍GRE数学平均数考点。如果新GRE数学考点都没有复习到,如何能拿到满意的GRE数学分数呢?所以说,想要新GRE数学考好,复习的时候一定要把新GRE数学考点弄扎实。

  Average of n numbers of arithmetic progression is the average of the smallest and the largest number of them. The average of m number can also be written as x + d/2.

  Example:

  The average of all integers from 1 to 5 is /2=3

  The average of all odd numbers from 3 to 3135 is /2=1569

  The average of all multiples of 7 from 14 to 126 is /2=70

  remember:

  Make sure no number is missing in the middle.

  With more numbers, average of an ascending AP increases.

  With more numbers, average of a descending AP decreases.

  AP:numbers from sum

  given the sum s of m numbers of an AP with constant increment d, the numbers in the set can be calculated as follows:

  the first number x = s/m - d/2,and the n-th number is s/m + d/2.

  Example:

  if the sum of 7 consecutive even numbers is 70, then the first number x = 70/7 - 2/2 = 10 - 6 = 4.

  the last number is 70/7+2/2=10+6=16.the set is the even numbers from 4 to 16.

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