Matematika

Pertanyaan

tentukan jumlah 25 suku pertama dari deret aritmatika 35 + 31 + 27 + 23

2 Jawaban

  • Suku awal (a) = 35
    Beda (b) = U2 - U1 = 31 - 35 = -4
    S25 = ?
    Sn = n/2 ( 2a + (n-1) b )
    S25 = 25/2 ( 2 × 35 + (25-1) -4)
    S25 = 25/2 (70 + 24 × -4)
    S25 = 25/2 (70 - 96)
    S25 = 25/2 × -26
    S25 = -325
  • S25 ....?

    Dik : a = 35
    b = -4

    Sn = n/2 (2a + (n-1)b )
    S25 = 25/2 (2(35) + (25-1)-4)
    S25 = 25/2 (70 + (-96))
    S25 = 25/2 (-26)
    S25 = 25 x (-13)
    S25 = -325

    atau cara satunya

    Un = a+(n-1)b
    U25 = 35 + (24).-4
    U25 = 35 + (-96)
    U25 = -61

    Sn = n/2 (a+Un)
    S25 = 25/2 (35+(-61)
    S25 = 25/2 (-26)
    S25 = 25 x (-13)
    S25 = -325

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