Consider the general series: Σ an = s; where an are the terms of the series n=1 and s is the sum of the series. A. What is the definition the nth partial sum of the series? B. What is the mathematical definition of the sum of a series? C. Using only the mathematical definition of the sum of a series, calculate the sum of the following series: n=1 6 (-3)n

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 30E: Find the sum of indicated terms of each geometric series. n=1612(12)n1
Question
Consider the general series: Σ
an = s; where an are the terms of the series
n=1
and s is the sum of the series.
A. What is the definition the nth partial sum of the series?
B. What is the mathematical definition of the sum of a series?
C. Using only the mathematical definition of the sum of a series,
calculate the sum of the following series:
n=1
6
(-3)n
Transcribed Image Text:Consider the general series: Σ an = s; where an are the terms of the series n=1 and s is the sum of the series. A. What is the definition the nth partial sum of the series? B. What is the mathematical definition of the sum of a series? C. Using only the mathematical definition of the sum of a series, calculate the sum of the following series: n=1 6 (-3)n
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