1+1+2/1+1+2+3/1+...+1+2+3+...+100/1怎么简算?/是分数线.1 1 11+ ------ + -------- + ···+ -------------------- = 1+2 1+2+3 1+2+3+···+100不要套公式的做法.
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1+1+2/1+1+2+3/1+...+1+2+3+...+100/1怎么简算?/是分数线.1 1 11+ ------ + -------- + ···+ -------------------- = 1+2 1+2+3 1+2+3+···+100不要套公式的做法.
1+1+2/1+1+2+3/1+...+1+2+3+...+100/1怎么简算?
/是分数线.
1 1 1
1+ ------ + -------- + ···+ -------------------- =
1+2 1+2+3 1+2+3+···+100
不要套公式的做法.
1+1+2/1+1+2+3/1+...+1+2+3+...+100/1怎么简算?/是分数线.1 1 11+ ------ + -------- + ···+ -------------------- = 1+2 1+2+3 1+2+3+···+100不要套公式的做法.
原式第1项=2*(1/1-1/2)
原式第2项=2*(1/2-1/3)
原式第3项=2*(1/3-1/4)依次类推~
原式第99项=2*(1/99-1/100)
原式第100项=2*(1/100-1/101)依次类推
所以这100项加起来
就=2*(1/1-1/2 + 1/2-1/3 + 1/3-1/4 + ··········· +1/99-1/100 + 1/100-1/101)
中间各项抵消 最后=2*(1/1-1/101)=200/101