1/1×2=1-1/2,1/2×3=1/2-1/3,1/3×4=1/3-1/4,1/4×5=1/4-1/5 则第十个式子是-_____=--___第n个算式是-_--_____=__根据以上规律解答下题:若有理数a.b满足a-1的绝对值+(b-3)²=0,试求1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)+.+1/(a
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![1/1×2=1-1/2,1/2×3=1/2-1/3,1/3×4=1/3-1/4,1/4×5=1/4-1/5 则第十个式子是-_____=--___第n个算式是-_--_____=__根据以上规律解答下题:若有理数a.b满足a-1的绝对值+(b-3)²=0,试求1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)+.+1/(a](/uploads/image/z/5041154-2-4.jpg?t=1%2F1%C3%972%3D1-1%2F2%2C1%2F2%C3%973%3D1%2F2-1%2F3%2C1%2F3%C3%974%3D1%2F3-1%2F4%2C1%2F4%C3%975%3D1%2F4-1%2F5+%E5%88%99%E7%AC%AC%E5%8D%81%E4%B8%AA%E5%BC%8F%E5%AD%90%E6%98%AF-_____%3D--___%E7%AC%ACn%E4%B8%AA%E7%AE%97%E5%BC%8F%E6%98%AF-_--_____%3D__%E6%A0%B9%E6%8D%AE%E4%BB%A5%E4%B8%8A%E8%A7%84%E5%BE%8B%E8%A7%A3%E7%AD%94%E4%B8%8B%E9%A2%98%EF%BC%9A%E8%8B%A5%E6%9C%89%E7%90%86%E6%95%B0a.b%E6%BB%A1%E8%B6%B3a-1%E7%9A%84%E7%BB%9D%E5%AF%B9%E5%80%BC%2B%EF%BC%88b-3%EF%BC%89%26sup2%3B%3D0%2C%E8%AF%95%E6%B1%821%2Fab%2B1%2F%28a%2B2%29%28b%2B2%29%2B1%2F%28a%2B4%29%28b%2B4%29%2B.%2B1%2F%28a)
1/1×2=1-1/2,1/2×3=1/2-1/3,1/3×4=1/3-1/4,1/4×5=1/4-1/5 则第十个式子是-_____=--___第n个算式是-_--_____=__根据以上规律解答下题:若有理数a.b满足a-1的绝对值+(b-3)²=0,试求1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)+.+1/(a
1/1×2=1-1/2,1/2×3=1/2-1/3,1/3×4=1/3-1/4,1/4×5=1/4-1/5 则第十个式子是-_____=--___
第n个算式是-_--_____=__
根据以上规律解答下题:若有理数a.b满足a-1的绝对值+(b-3)²=0,试求
1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)+.+1/(a+100)(b+100)的值
1/1×2=1-1/2,1/2×3=1/2-1/3,1/3×4=1/3-1/4,1/4×5=1/4-1/5 则第十个式子是-_____=--___第n个算式是-_--_____=__根据以上规律解答下题:若有理数a.b满足a-1的绝对值+(b-3)²=0,试求1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)+.+1/(a
找规律:1/1×2=1/1-1/2,(观察分母发现:第一个的分母分别是1和2)
1/2×3=1/2-1/3,(第二个的分母分别是2和3)
1/3×4=1/3-1/4,(第三个的分母分别是3和4)
1/4×5=1/4-1/5 (第四个的分母分别是4和5)
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第十个:1/10×11 = 1/10—1/11 (第十个的分母应该是10和11)
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第n个算式是:1/n×(n+1)= 1/n — 1/(n+1)