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15 March, 11:58

Given the geometric sequence an = 6 (5) n - 1, which of the following values for n lies in the appropriate domain for n?

n = - 1

n = 1

n = 0

They all lie in the domain

+1
Answers (1)
  1. 15 March, 12:19
    0
    The sequence is A (n) = 6 [5 ^ (n-1) ]

    Although, the formula may be applied to negative, zero and positive numbers, it does not make sense to talk about the - 1 or zero term.

    Ther first term is A (1), where n = 1, then the answer should be n = 1.

    Answer: n = 1

    Here you can see that you the formula may be applied, but this does not mean that you can do it, because n = 1 is used to define the first term.

    For n = - 1, A (1) = 6 [5^-2] = 6 / 5^2

    For n = 0, A (0) = 6[5^-1] = 6/5

    For n = 1, A (1) = 6 [5^0] = 6

    For n = 2, A (2) = 6 [5^1] = 6*5

    For n = 3, A (3) = 6[5^2] = 6*5^2
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