Question

Select the correct answer.

Answer 1

According to the definition of geometric series, there are five terms in the geometric series. (Correct choice: D)

How many terms are in a geometric series?

A geometric series is a expression represented by a exponential 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 geometric series, there are five terms in the geometric series. (Correct choice: D)

To learn more on geometric series: brainly.com/question/4617980

#SPJ1