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问题: 简单数学题

Given an arithmetic progression -7,-3,1,...,state three consecutive terms in this progression which sum up to 75.

解答:

此数列是等差数列,公差是4

设三个数是x-4,x,x+4,则3x=75,得x=25

25=-7+4(n-1),得n=9

所以,满足要求的三个数是21,25,29,就是数列的第8、9、10项