Matematika

Pertanyaan

dari suatu deret aritmetika diketahui u3+u6+u12=72 dan u1+u2=180 berapa s14

1 Jawaban

  • aritmetika
    u3 + u6 + u12 = 72
    a+ 2b+ a+ 5b+ a+ 11b = 72
    3a + 18b = 72
    a + 6b = 24


    u1 + u2 = 180
    a + a+ b = 180
    2a + b = 180

    a + 6b = 24 ...|kali 2
    2a + b = 180

    2a + 12b = 48
    2a +  b = 180
    ........................(-)
    11b = - 132
    b = -12

    a + 6b= 24
    a = 24 - 6b
    a = 24 - 6(-12)
    a = 24 + 72
    a = 96

    U14 = a + 13b
    u14 = 96 + 13(-12)
    u14 = 96 - 156
    u14 = -60


    Sn = n/2 (a + un)
    S14 = 14/2 (96 - 60)
    S14 = 7(36) 
    S14 = 252

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