Matematika

Pertanyaan

Tentukan jumlah 20 Suki pertama pada deret deret aritmatika berikut
a. 100+92+84+...
b. 36+34+32+....

1 Jawaban

  • a.
    U1 = a = 100
    U2 = 92
    b = U2 - U1 = 92 - 100 = -8

    Sn = 1/2 n (2a + (n-1)b)
    S20 = 1/2 × 20 (2 × 100 + 19 × (-8))
    S20 = 10 (200 - 152)
    S20 = 10 (48)
    S20 = 480

    b.
    U1 = a = 36
    U2 = 34
    b = U2 - U1 = 34 - 36 = -2

    Sn = 1/2 n (2a + (n-1)b)
    S20 = 1/2 × 20 (2 × 36 + 19 × (-2))
    S20 = 10 (72 - 38)
    S20 = 10 (34)
    S20 = 340

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