Matematika

Pertanyaan

buktikan bahwa 1/11+1/121+1/1.331+1/13.641+......=1/10

1 Jawaban

  • 1/11+1/121+1/1.331+1/13.641+......

    a=1/11
    r=1/121 ÷ 1/11=1/121x11=11/121=1/11

    Jumlah tak hingga (S∞)
    =a ÷ (1-r)
    =1/11 ÷ (1 - 1/11)
    =1/11 ÷ (11/11 - 1/11)
    =1/11 ÷ 10/11
    =1/11 x 11/10
    =1/10

    terbukti
    1/11+1/121+1/1.331+1/13.641+......=1/10

Pertanyaan Lainnya