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1/(1*3)+1/(3*5)+1/(5*7)+.+1/(49+51)的简便运算
人气:360 ℃ 时间:2020-01-29 19:32:36
解答
1/(1*3)+1/(3*5)+1/(5*7)+.+1/(49*51)
=(1-1/3+1/3-1/5+1/5-1/7+.+1/49-1/51)/2
=(1-1/51)/2
=25/51
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