Matematika

Pertanyaan

Diketahui barisan aritmatika, jika U3= 42, U5+U9=52 maka S20=...?

1 Jawaban

  • 1) U3 = 42
    a + 2b = 42

    2) U5 + U9 = 52
    a + 4b + a + 8b = 52
    2a + 12b = 52
    2(a + 6b) = 52
    a + 6b = 26

    a + 2b = 42
    a + 6b = 26
    ---------------- -
    -4b = 16
    b = -4

    a + 2(-4) = 42
    a - 8 = 42
    a = 50

    S20 = 20/2 (2 × 50 + 19(-4))
    = 10 (100 - 76)
    = 10 × 24
    = 240

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