Matematika

Pertanyaan

Tentukan suku ke-5 dan jumlah 5 suku pertama dan barisan dari:
a. 20, 24, 28, ....
b. 2, 6, 18, 54, ....

1 Jawaban

  • a. 20, 24, 28, ....
    b. 2, 6, 18, 54, ....

    a. U5 = a + 4b
    = 20 + (4 × 4)
    = 20 + 16 = 36

    S5 = n/2 (2a + (n-1)b)
    = 5/2 (2 × 20 + (4 × 4))
    = 2,5 (40 + 16)
    = 2,5 × 56 = 140

    b. U5 = ar^n-1
    = 2 × 3^4
    = 2 × 81
    = 162

    S5 = a(r^n-1)/r-1
    = 2( 3^5 - 1)/2
    = 2 (242) / 2
    = 242

    Semoga membantu

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