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16 March, 15:51

write the first five terms of the sequence defined by the recursive formula a_n = (5a_n-1) - 1, with a_1=0

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  1. 16 March, 17:47
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    a_1 = 0

    a_2 = - 1

    a_3 = - 6

    a_4 = - 31

    a_5 = - 156

    Step-by-step explanation:

    a_n = (5a_n-1) - 1

    a_1 = 0

    to find a2 substitute a1

    a_2 = (5 * a_1) - 1

    a_2 = 5 * 0 - 1

    a_2 = 0-1

    a_2 = - 1

    to find a3 substitute a2

    a_3 = (5 * a_2) - 1

    a_3 = (5 * - 1) - 1

    a_3 = - 5 - 1

    a_3 = - 6

    to find a4 substitute a3

    a_4 = (5 * a_3) - 1

    a_4 = (5 * - 6) - 1

    a_4 = - 30 - 1

    a_4 = - 31

    to find a5 substitute a4

    a_5 = (5 * a_4) - 1

    a_5 = (5 * - 31) - 1

    a_5 = - 155 - 1

    a_5 = - 156
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