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  • 1/(a-1)+1/(a-1)(a-2)+1(a-2)(a-3).1/(a-99)(a-100)

    1/(a-1)+1/(a-1)(a-2)+1(a-2)(a-3).1/(a-99)(a-100)
    數學人氣:925 ℃時間:2020-05-07 20:24:52
    優(yōu)質解答
    1/(a-1)+1/(a-1)(a-2)+1(a-2)(a-3).1/(a-99)(a-100)
    =1/(a-1)+1/(a-1)-1/(a-2)+1/(a-2)-1/(a-3)+.+1/(a-99)-1/(a-100)
    =2/(a-1)-1/(a-100)
    =[2(a-100)-2]/(a-1)(a-100)
    =(2a-202)/(a-1)(a-100)
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