Matematika

Pertanyaan

Tentukan U4 dari deret aritmatika yang rumus jumlah n suku pertamanya adalah Sn = 2n²-2

2 Jawaban

  • Sn = 2n² - 2
    S1 = 2(1)² - 2 = 2 - 2 = 0
    S2 = 2(2)² - 2 = 2(4) - 2 = 8 - 2 = 6

    S1 = a = 0
    S2 = a + b = 6
    0 + b = 6
    b = 6

    U4 = a + 3b
    = 0 + 3(6)
    = 0 + 18
    = 18
  • sn = n/2 (a + un)
    a = s1
    =====================

    s1 = 2(1²) - 2
    s1 = 0

    s4 = 4/2 (0 + u4)
    2(4²) - 2 = 2u4
    30 = 2u4
    u4 = 30/2
    u4 = 15

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