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precalculus

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Find the first five terms of the given recursively defined sequence.
an = 3an − 1 + 9 and a1 = 2

  • precalculus - ,

    If yourexpression mean :

    an = 3 a ( n − 1 ) + 9

    a1 = 2

    then

    a2 = 3 a1 + 9 = 3 * 2 + 9 = 6 + 9 = 15

    a3 = 3 a2 + 9 = 3 * 15 + 9 = 45 + 9 = 54

    a4 = 3 a3 + 9 = 3 * 54 + 9 = 162 + 9 = 171

    a5 = 3 a4 + 9 = 3 * 171 + 9 = 513 + 9 = 522

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