1*2/1+2*3/1+3*4/1...98*99/1+99*100/1.计算 要方法
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![1*2/1+2*3/1+3*4/1...98*99/1+99*100/1.计算 要方法](/uploads/image/z/1019260-28-0.jpg?t=1%2A2%2F1%2B2%2A3%2F1%2B3%2A4%2F1...98%2A99%2F1%2B99%2A100%2F1.%E8%AE%A1%E7%AE%97+%E8%A6%81%E6%96%B9%E6%B3%95)
1*2/1+2*3/1+3*4/1...98*99/1+99*100/1.计算 要方法
1*2/1+2*3/1+3*4/1...98*99/1+99*100/1.计算 要方法
1*2/1+2*3/1+3*4/1...98*99/1+99*100/1.计算 要方法
原式
= 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... ... + 1/98 - 1/99 + 1/99 - 1/00
= 1 - 1/100
= 99/100