Matematika

Pertanyaan

Suku ke 5 suatu deret aritmatika = 40 dan suku ke 8 = 45.
Tentukan suku pertama dan beda serta hitunglah jumlulah 10 suku pertama

1 Jawaban

  • U5 = a + 4b = 40
    U8 = a + 7b = 45
    --------------------------(-)
    - 3b = - 5
    b = 5/3

    a + 4b = 40
    a + 4(5/3) = 40
    a + 20/3 = 40
    a = 40 - 20/3
    a = 120/3 - 20/3
    a = 100/3

    U10 = a + 9b
    = 100/3 + 9(5/3)
    = 100/3 + 45/3
    = 145/3

    S10 = ½ . 10 ( a + U10)
    = 5(100/3 + 145/3)
    = 5 × 245/3
    = 1225/3
    = 408 ⅓

Pertanyaan Lainnya