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O 7/1 - OO M8 7/43

O 7/1 - OO M8 7/43

Calculus: Early Transcendentals
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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Solve these two questions pls

The image presents a mathematical problem involving an infinite series. The question asks for the sum of the series from n=1 to infinity of the expression \( \frac{8}{7^n} \). Four answer choices are provided: - \( 7 \) - \( \frac{4}{3} \) - \( 1 \) - \( \frac{28}{3} \) To determine the correct answer, one needs to use the formula for the sum of an infinite geometric series, which is \( S = \frac{a}{1 - r} \), where \( a \) is the first term and \( r \) is the common ratio. In this series, \( a = \frac{8}{7} \) and \( r = \frac{1}{7} \).
Transcribed Image Text:The image presents a mathematical problem involving an infinite series. The question asks for the sum of the series from n=1 to infinity of the expression \( \frac{8}{7^n} \). Four answer choices are provided: - \( 7 \) - \( \frac{4}{3} \) - \( 1 \) - \( \frac{28}{3} \) To determine the correct answer, one needs to use the formula for the sum of an infinite geometric series, which is \( S = \frac{a}{1 - r} \), where \( a \) is the first term and \( r \) is the common ratio. In this series, \( a = \frac{8}{7} \) and \( r = \frac{1}{7} \).
The image presents a mathematical expression that is part of a multiple-choice problem. The expression is an infinite series given by: \[ \sum_{n=1}^{\infty} (-1)^{n-1} \frac{5}{4^n} \] Below the series, there are four possible answer options, listed as follows: 1. \(\frac{20}{3}\) 2. \(\frac{5}{3}\) 3. 1 4. 4 The task is to evaluate the series and select the correct result from the given options.
Transcribed Image Text:The image presents a mathematical expression that is part of a multiple-choice problem. The expression is an infinite series given by: \[ \sum_{n=1}^{\infty} (-1)^{n-1} \frac{5}{4^n} \] Below the series, there are four possible answer options, listed as follows: 1. \(\frac{20}{3}\) 2. \(\frac{5}{3}\) 3. 1 4. 4 The task is to evaluate the series and select the correct result from the given options.
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