Given the geometric sequence an = 4 (6) n - 1, which of the following values for n lies in the appropriate domain for n?

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