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00 Calculate the sum of the series whose partial sums are given. a n = 1 s, = 8 - 4(0.6)"

00 Calculate the sum of the series whose partial sums are given. a n = 1 s, = 8 - 4(0.6)"

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 1SE: What is an nth partial sum?
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Question
**Calculate the sum of the series** \[ \sum_{n=1}^{\infty} a_n \] **whose partial sums are given.** \[ s_n = 8 - 4(0.6)^n \] --- Description: This exercise involves calculating the sum of an infinite series based on its partial sum formula. The partial sum \( s_n \) is given by the expression \( 8 - 4(0.6)^n \). The challenge is to determine the sum of the series as \( n \) approaches infinity. In an educational context, this can be used to teach concepts related to series, limits, and convergence. No graphs or diagrams are present in this image, so the focus remains on the mathematical expression and its understanding.
Transcribed Image Text:**Calculate the sum of the series** \[ \sum_{n=1}^{\infty} a_n \] **whose partial sums are given.** \[ s_n = 8 - 4(0.6)^n \] --- Description: This exercise involves calculating the sum of an infinite series based on its partial sum formula. The partial sum \( s_n \) is given by the expression \( 8 - 4(0.6)^n \). The challenge is to determine the sum of the series as \( n \) approaches infinity. In an educational context, this can be used to teach concepts related to series, limits, and convergence. No graphs or diagrams are present in this image, so the focus remains on the mathematical expression and its understanding.
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