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26 March, 15:10

Use the given nth term formula to compute the first five terms of the sequence.

an = 8n^2 - 4n

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  1. 26 March, 19:02
    0
    0,4,24,60,112

    Step-by-step explanation:

    an = 8n² - 4n

    first 5 terms is a0, a1, a2, a3 and a4

    for a0, n = 0,

    a0 = 8 (0) ² - 4 (0) = 0

    for a1, n = 1,

    a1 = 8 (1) ² - 4 (1) = 8-4 = 4

    for a2, n = 2,

    a2 = 8 (2) ² - 4 (2) = 8 (4) - 4 (2) = 32-8 = 24

    for a3, n = 3,

    a3 = 8 (3) ² - 4 (3) = 8 (9) - 4 (3) = 72 - 12 = 60

    for a4, n = 4,

    a4 = 8 (4) ² - 4 (4) = 8 (16) - 4 (4) = 128 - 16 = 112

    hence the first 5 terms are

    0,4,24,60,112
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