Matematika

Pertanyaan

1 + 1/2 + 1/3 + 1/4 + .... + 1/100 =

2 Jawaban

  • 1/100+50/100+33/100+25/100+20/100+1/100=130/100
  • sn=n/2(2a+(n-1)b
    1/100=n/2(2x1+(n-1) (-1/2)
    1/100=n/2(2+(-1/2)n+1/2)
    1/100=2n -n^2/4+n/4
    _________________ x 4
    4/100=8n-n^2+n

    4/100=-n^2+9n 
    __________________ x100
    4= - 100n^2+900n
    100n^2-900n+4=0 
    ___________________ :4
    25n^2-225n+1=0
    25n(n-9)=-1
    n=-1 atau n=9

    lain kali ditulis apa yg ditanyakan 

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