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新GRE數(shù)學(xué)重要考點 平均數(shù)

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 下面為大家介紹GRE數(shù)學(xué)平均數(shù)考點。如果新GRE數(shù)學(xué)考點都沒有復(fù)習(xí)到,如何能拿到滿意的GRE數(shù)學(xué)分?jǐn)?shù)呢?所以說,想要新GRE數(shù)學(xué)考好,復(fù)習(xí)的時候一定要把新GRE數(shù)學(xué)考點弄扎實。
  Average of n numbers of arithmetic progression (AP) is the average of the smallest and the largest number of them. The average of m number can also be written as x + d(m-1)/2.
  Example:
  The average of all integers from 1 to 5 is (1+5)/2=3
  The average of all odd numbers from 3 to 3135 is (3+3135)/2=1569
  The average of all multiples of 7 from 14 to 126 is (14+126)/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(m-1)/2,and the n-th number is s/m + d(2n-m-1)/2.
  Example:
  if the sum of 7 consecutive even numbers is 70, then the first number x = 70/7 - 2(7-1)/2 = 10 - 6 = 4.
  the last number (n=m=7)is 70/7+2(27-7-1)/2=10+6=16.the set is the even numbers from 4 to 16.
  Remember:
  given the first number x, it is easy to calculate other numbers using the formula for n-th number: x+(n-1)
  AP:numbers from average
  all m numbers of an AP can be calculated from the average. the first number x = c-d(m-1)/2, and the n-th number is c+d(2n-m-1)/2, where c is the average of m numbers.
  Example:
  if the average of 15 consecutive integers is 20, then the first number x=20-1(15-1)/2=20-7=13 and the last number (n=m=15) is 20+1(215-15-1)/2=20+7=27.
  if the average of 33 consecutive odd numbers is 67, then the first number x=67-2(33-1)/2=67-32=35 and the last number (n=m=33) is 67+2(233-33-1)/2=67+32=99.
  Remember:
  sum of the m numbers is cm,where c is the average.
  以上就是新GRE數(shù)學(xué)平均數(shù)考點的介紹。考生不要過于緊張,把基本概念弄明白,再記住一些新GRE數(shù)學(xué)必備的詞匯,那么相信新GRE數(shù)學(xué)應(yīng)該沒有問題。由于美國數(shù)學(xué)基礎(chǔ)教育的難度增加導(dǎo)致新GRE數(shù)學(xué)越來越難,但GRE數(shù)學(xué)考點都是高中時候?qū)W到的知識點。

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constant ['kɔnstənt]

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adj. 經(jīng)常的,不變的
n. 常數(shù),恒量

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formula ['fɔ:mjulə]

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n. 公式,配方,規(guī)則;代乳品
adj. (賽

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increment ['inkrimənt]

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n. 增加(增加物,增量,余差)

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calculated ['kælkjuleitid]

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adj. 計算出的;適合的;有計劃的 v. 計算;估計;

 
calculate ['kælkjuleit]

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v. 計算,估計,核算,計劃,認(rèn)為

 
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