The expression that represents well the <em>geometric</em> sequence is and the value of the <em>fourth</em> term is 64. (Correct choice: B)
<em>Geometric</em> sequences are <em>exponential</em> expressions with discrete domain, whose form is presented and explained below:
, where a, r are <em>real</em> numbers and n is a <em>natural</em> 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 <em>geometric</em> sequence is 8 and between any two <em>consecutive</em> terms there is a <em>common</em> 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:
f(4) = 8 · 8
f(4) = 64
The expression that represents the <em>geometric</em> sequence is and the value of the <em>fourth</em> term is 64.
To learn more on geometric sequences: brainly.com/question/11266123
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