The expression that represents well the geometric sequence is [tex]f(n) = 8 \cdot 2^{n-1}[/tex] and the value of the fourth term is 64. (Correct choice: B)
How to analyze geometric sequences
Geometric sequences are exponential expressions with discrete domain, whose form is presented and explained below:
[tex]f(n) = a \cdot r^{n-1}[/tex], where a, r are real numbers and n is a natural number. (1)
Where:
- Value of the starting term.
- Common ratio of the series.
According to the statement, we know that the first term of the geometric sequence is 8 and between any two consecutive terms there is a common ratio of 2. If we know that a = 8, r = 2 and n = 4, then the fourth term of the series by means of (1) is:
[tex]f(4) = 8 \cdot 2^{4-1}[/tex]
f(4) = 8 · 8
f(4) = 64
The expression that represents the geometric sequence is [tex]f(n) = 8 \cdot 2^{n-1}[/tex] and the value of the fourth term is 64.
To learn more on geometric sequences: https://brainly.com/question/11266123
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