Matematika

Pertanyaan

Tentukan jumlah dua deret berikut
1. 0,515151...
2. 4/3 + 4/9 + 4/81 + ....

2 Jawaban

  • 1. kurang jelas maaf
    2. 4/3,4/9,4/81
    a=4/3,r=1/3
    S(infinity)=a/1-r
    =4/3 / 1-1/3
    =4/3 / 2/3
    =4/3 . 3/2=2
    jadikan jawaban terbaik jika membantu
    Berikan terima kasih
  • 1) 0,515151.... = 0,51 + 0,0051 + 0,000051 + .....
    a = 0,51
    r = 0,0051/0,51 = 0,01
    S~ = a/(1 - r) = 0,51/(1 - 0,0,1) = 0,51/0,99 = 51/99

    2) seharusnya no 2 biar rasionya tetep 1/3 barisannya haruslah
    4/3 + 4/9 + 4/27 + 4/81 + ...
    a = 4/3
    r = (4/9)/(4/3) = (4/9) . (3/4) = 3/9 = 1/3
    S~ = a/(1 - r) = (4/3) / (1 - 1/3) = (4/3) / (2/3) = 4/2 = 2

    CARA LAIN NO 1
    Misal
    a = 0,515151.... ==========> kali 100
    100a = 51,515151...
    --------------------------- -
    -99a = -51
    a = 51/99

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