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12 December, 13:49

Find the first five terms of the sequence: an = 5an - 1 + 2; a1 = 3.

a) {3, 17, 87, 437, 2187}

b) {3, 15, 75, 375, 1875}

c) {3, 12, 17, 22, 27}

d) {3, 11, 27, 59, 123}

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Answers (1)
  1. 12 December, 15:05
    0
    Given that the series is given by:

    an=5an-1+2

    where:

    a1=3

    then the other terms of the sequence will be:

    a2=5a1+2

    a2=5*3+2=17

    a3=5a2+2

    a3=5 (17) + 2

    a3=87

    a4=5a3+2

    a4=5 (87) + 2

    a4=437

    a5=5a4+2

    a5 = (5*437+2)

    a5=2187

    hence the sequence will be:

    3, 17, 87, 437, 2187

    Answer: a) {3, 17, 87, 437, 2187}
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