Matematika

Pertanyaan

dik u3=9 u7=21 tentukan beda,u1 dan u15

2 Jawaban

  • U3 = 9
    U7 = 21
    Un = a + (n-1)b

    U3 = a + 2b = 9
    U7 = a + 6b = 21
    _____________ _
    -4b = -12
    b = -12/-4
    b = 3

    Lalu, kita ambil salah satu persamaan :
    a + 2b = 9
    a + 2(3) = 9
    a = 9 - 6
    a = 3

    U15 = a + 14b
    U15 = 3 + 14(3)
    U15 = 3 + 42
    U15 = 45

    Semoga membantu :)
  • ▶MAPEL : MATEMATIKA

    ▶KELAS : IX

    ▶BAB : BARISAN & DERET
    ----------------------------------------


    Diketahui :
    ↪U3 = 9
    ↪U7 = 21

    Ditanya :
    ↪beda barisan
    ↪U1 (a)
    ↪U15


    Jawaban :
    ==========

    → Beda barisan

    U7 - U3 = 21 - 9

    7b - 3b = 12

    4b = 12

    b = 12/4

    b = 3 ✔


    → Suku Pertama (a)

    U3 = 9

    a + (3-1)b = 9

    a + 2(3) = 9

    a + 6 = 9

    a = 9 - 6

    a = 3 ✔



    → Suku ke 15

    U15 = a + (n-1)b

    U15 = 3 + (15-1)(3)

    U15 = 3 + 14(3)

    U15 = 3 + 42

    U15 = 45 ✔

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