Matematika

Pertanyaan

Tuliskan empat suku pertama dan barisan bilangan,jika suku ke-n ditemtukan
A)un=5(2n-1)
B)un=3n(n+2)
C)un=1/2 n(2n+2)
D)un=n²(2n+1)

1 Jawaban

  • Un = 5 (2n-1)
    n = 1 = U1 = 5 x (2(1)-1) = 5 x 1 = 5
    n = 2 = U2 = 5 x (2(2) -1) = 5 x 3 = 15
    n = 3 = U3 = 5 x (2(3) - 1) = 5 x 5 = 25
    n = 4 = U4 = 5 x (2(4) - 1) = 5 x 7 = 35

    Un = 3n (n+1)
    n = 1 = U1 = 3(1) x (1+1) = 3 x 1 = 3
    n = 2 = U2 = 3(2) x (2+1) = 6 x 3 = 18
    n = 3 = U3 = 3(3) x (3+1) = 9 x 4 = 36
    n = 4 = U4 = 3(4) x (4+1) = 12 x 5 = 60

    Un = 1/2 x n (2n + 2)
    n = 1 = U1 = 1/2 x 1 (2(1) + 2) = 1/2 (4) = 2
    n = 2 = U2 = 1/2 x 2 (2(2) + 2) = 1 x 4 = 4
    n = 3 = U3 = 1/2 x 3 (2(3) + 2) = 3/2 x 8 = 24/2 = 12
    n = 4 = U4 = 1/2 x 4 (2(4) + 2) = 2 x 10 = 20

    Un = n² (2n+1)
    n = 1 = U1 = 1² x (2(1) + 1) = 1 x 3 = 3
    n = 2 = U2 = 2² x (2(2) + 1) = 4 x 5 = 20
    n = 3 = U3 = 3² x (2(3) + 1 = 9 x 7 = 63
    n = 4 = U4 = 4² x (2(4) + 1) = 16 x 9 = 144 

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