Matematika

Pertanyaan

Carilah n jika (dalam deret geometri)
2+4+8+..+2^n=510

1 Jawaban

  • Sn = 510 Ket : ^n = pangkat n
    a = 2
    r = 4/2
    = 2

    Sn = a(r^n - 1)
    r - 1
    510 = 2(r^n - 1)
    510 = 2r^n - 2
    2r^n = 510+2
    r^n = 512/2
    r^n = 256
    r^n = 16²
    r^n = 2⁸

    subtisusi nilai r ke -> r^n = 2⁸
    2^n = 2⁸
    n = 8
    jadi nilai n = 8

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