Matematika

Pertanyaan

Tentukan rumus suku ke N dari barizant:
A. 4, 13, 22, 31, ...
B. 5, 8, 11, 14, ...
C. 0, 3, 8, 15, ...
D. 2, 6, 12, 20, ...
E. 200, 190, 180, 170, ...

1 Jawaban

  • a.4, 13, 22, 31, ...
    U1 = 4 = 9 × 1 - 5
    U2 = 13 = 9 × 2 - 5
    U3 = 22 = 9 × 3 - 5
    Un = 4n - 5
    b 5, 8, 11, 14, ...
    U1 = 5 = 3 × 1 + 2
    U2 = 8 = 3 × 2 + 2
    U3 = 11 = 3 × 3 + 2
    Un = 3n + 2
    c 0, 3, 8, 15, ...
    Un = an² + bn + c
    U1 = 0 <> a × 1² + b × 1 + c = a + b + c = 0
    U2 = 3 <> a × 2² + b × 2 + c = 4a + 2b + c = 3
    U3 = 8 <> a × 3² + b × 3 + c = 9a + 3b + c = 8
    4a + 2b + c = 3
    a + b + c = 0
    ---------------------- -
    3a + b = 3
    9a + 3b + c = 8
    a + b + c = 0
    ---------------------- -
    8a + 2b = 8
    Yg lain gak tau

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