Matematika

Pertanyaan

1. tentukan rumus suku ke -n dan suku ke - 8 barisan di bawah
a) 4,-8,16,-32
b) 1/2 ,1/4 ,1/8

2 Jawaban

  • a) 4,-8,16,-32
    a = 4
    r = -8/4 = -2
    Un = 4 x (-2)ⁿ-¹
    U8 = 4 x (-2)^8-1 = 4 x -2^7 = -512

    b) 1/2 ,1/4 ,1/8
    a = ½
    b = ¼/½ = ½
    Un = ½ x ½ⁿ-¹ = ½ⁿ
    U8 = ½^8 = 1/256
  • a.) 4 , -8 , 16 , -32

    a = 4

    [tex]r = \frac{u2}{u1} \\ r = \frac{ - 8}{4} \\ r = - 2[/tex]

    [tex]Un = {ar}^{n - 1} \\ Un = 4( { - 2)}^{n - 1} \\ Un = { - 8}^{n - 1} [/tex]

    [tex] Un = {ar}^{n - 1} [/tex]

    [tex] U8 = {4}{(-2)}^{8-1} [/tex]

    [tex] U8 = {4}{(-2)}^{7} [/tex]

    [tex] U8 = {4}{(-128)} [/tex]

    [tex] U8 = -512 [/tex]

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