Matematika

Pertanyaan

sebuah barisan aritmatika u7 = 7√2 + 5 dan u11 =11√2+9, maka u10

1 Jawaban

  • U7 = a + 6b = 7√2 + 5
    U11 = a + 10b =
    11√2+9
                         -4b = -4√2 - 4
                             b = √2 + 1
    a + 6b =
    7√2 + 5
    a + 6(√2 + 1) =
    7√2 + 5
    a + 6√2 + 6 =
    7√2 + 5
                      a = √2 - 1
    U10 = a + 9b
            = √2 - 1 + 9(√2 + 1)
            = √2 - 1 + 9√2 + 9
           = 10√2 + 8

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