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6 July, 15:55

Find an explicit rule for the nth term of the sequence. 7, 21, 63, 189, ... select one: a. an = 7 • 3n b. an = 7 • 3n - 1 c. an = 3 • 7n - 1 d. an = 7 • 3n 1

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  1. 6 July, 15:58
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    If you look at by making a guess.

    a = 7*3ⁿ, n = 0, 1, 2, 3, ...

    Test:

    when n = 0, a = 7*3⁰ = 7 * 1 = 7

    when n = 1, a = 7*3¹ = 7 * 3 = 21

    when n = 2, a = 7*3² = 7 * 9 = 63

    when n = 3, a = 7*3³ = 7 * 27 = 189

    So a = 7*3ⁿ, n = 0, 1, 2, 3, ...
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