We appreciate your visit to What is the sum of the first six terms of the geometric series 2 6 18 54 A 364 B 364 C 182 D 182. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The sum of the first six terms of the geometric series is -364.
Explanation:
To find the sum of the first six terms of the geometric series, we can use the formula for the sum of a geometric series. The formula is given by:
- Sum = (first term) * (1 - (common ratio)^(number of terms)) / (1 - (common ratio))
In this case, the first term is 2 and the common ratio is -3. Plugging in these values into the formula, we get:
- Sum = 2 * (1 - (-3)^6) / (1 - (-3))
- Sum = 2 * (1 - 729) / (1 + 3)
- Sum = 2 * (-728) / 4
- Sum = -364
Therefore, the sum of the first six terms of the geometric series is -364, which corresponds to option (a).
Thanks for taking the time to read What is the sum of the first six terms of the geometric series 2 6 18 54 A 364 B 364 C 182 D 182. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
