10 20 40 80 Given the series 25 125 625 Does this series converge or diverge? O converges O diverges If the series converges, find the sum:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Convergence and Sum of Series

#### Given the Series:
\[ \frac{10}{5} + \frac{20}{25} - \frac{40}{125} + \frac{80}{625} + \cdots \]

#### Analysis of Convergence:
Determine whether the series converges or diverges:

- ☐ converges
- ☐ diverges

#### Sum of the Series:
If the series converges, find the sum:

\[ \text{Sum} = \_\_\_\_\_\_ \]
Transcribed Image Text:### Convergence and Sum of Series #### Given the Series: \[ \frac{10}{5} + \frac{20}{25} - \frac{40}{125} + \frac{80}{625} + \cdots \] #### Analysis of Convergence: Determine whether the series converges or diverges: - ☐ converges - ☐ diverges #### Sum of the Series: If the series converges, find the sum: \[ \text{Sum} = \_\_\_\_\_\_ \]
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