|1/2-1|+|1/3-1/2|+|1/4-1/3|+.+|1/2014-1/2013|
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/31 18:55:49
|1/2-1|+|1/3-1/2|+|1/4-1/3|+.+|1/2014-1/2013|
![|1/2-1|+|1/3-1/2|+|1/4-1/3|+.+|1/2014-1/2013|](/uploads/image/z/7162715-11-5.jpg?t=%7C1%2F2-1%7C%2B%7C1%2F3-1%2F2%7C%2B%7C1%2F4-1%2F3%7C%2B.%2B%7C1%2F2014-1%2F2013%7C)
把绝对值去掉,然后变为相反数,也就是倒着减
于是原式变为
1-1/2+1/2-1/3+1/3-1/4+……+1/2013-1/2014=1-1/2014=2013/2014
于是原式变为
1-1/2+1/2-1/3+1/3-1/4+……+1/2013-1/2014=1-1/2014=2013/2014
|1\2-1| + |1\3-1\2| + |1\4-1\3| +.+ |1\2014-1\2013|
|1/2-1|+|1/3-1/2|+|1/4-1/3|+.+|1/2014-1/2013|
|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2014-2013|
计算(1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2013-1)(1-1/2014)
计算:(1/2015-1)(1/2014-1)(1/2013-1)...(1/3-1)(1/2-1)
计算:1/(1*3)+1/(2*4)+1/(3*5)+...+1/(2011*2013)+1/(2012 *2014)
(1/2+1/3+...+1/2014)(1+1/2+1/3...+1/2013)-(1+1/2+1/3+...+1/2
【数学】计算|1/2-1|+|1/3-1/2|+|1/4-1/3|+…+|1/2014-1/2013|
第一题(1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2013-1)(1-1/2014) 第二题(1
(-1*2/1)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2012*1/2013)
1-1+2-3+4-5+6-7+.-2013+2014
(1/2014-1)(1/2013-1)(1-2012-1)...(1/3-1)(1/2-1)