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数学
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1/2+(1/3+2/3)+(1/4+2/4+3/4)+.+(1/40+2/40+.+38/40+39/40)
1/2+(1/3+2/3)+(1/4+2/4+3/4).+(1/60+2/60+.+58/60+59/60)
人气:347 ℃ 时间:2020-03-21 09:47:44
解答
1/n+2/n+3/n+.(n-1)/n=(1+2+3+.n-1)/n=(n-1)/2
1/2+1/3+2/3+1/4+2/4+3/4+……+1/60+2/60+3/60……+58/60+59/60
=1/2+(3-1)/2+(4-1)/2+.+(60-1)/2
=(1+2+3.+59)/2
=60*59/4
=885
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1/2+1/3+2/3+1/4+2/4+3/4+1/5+2/5+3/5+4/5.+1/40+2/40+.+38/40+39/40=
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