Matematika

Pertanyaan

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

1 Jawaban

  • U3 = a+2b = 42
    U5+U9 = a+4b+a+8b = 2a + 12b

    a+2b = 42 |x2|
    2a+12b = 52 |x1|

    2a+4b=84
    2a+12b=52
    ----------------- -
    8b = -32
    b = 4

    2a+12b=52
    2a+48=52
    2a = 52-48
    a = 4 :2 = 2

    U20 = a+19b
    = 2+19(4)
    = 2+76
    = 78

    maaf klo salah ;D

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