According to the definition of <em>geometric</em> series, there are <em>five</em> terms in the <em>geometric</em> series. (Correct choice: D)
<h3>How many terms are in a geometric series?</h3>
A <em>geometric</em> series is a expression represented by a <em>exponential</em> function of the form:
y = a · rˣ (1)
Where:
- x - Index of the x-th element.
- r - Common ratio
- a - First term of the geometric series.
- y - Value of the x-th element.
In this question we need to derive how many terms are in the sum of the geometric series described above: (a = - 3, r = 6)
y = - 3 · 6⁰ - 3 · 6¹ - 3 · 6² - 3 · 6³ - 3 · 6⁴
y = - 3 · 1 - 3 · 6 - 3 · 36 - 3 · 216 - 3 · 1,296
y = -4,665
According to the definition of <em>geometric</em> series, there are <em>five</em> terms in the <em>geometric</em> series. (Correct choice: D)
To learn more on geometric series: brainly.com/question/4617980
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