1. Given the following expression: 27 81 3 9 + + 10 100 1000 10000 a) Using sigma notation, write the expression as an infinite series. b) Find the partial sum S5. + + c) Determine if the series is convergent or divergent. If it's convergent, find its sum.

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 4SE: How is finding the sum of an infinite geometric series different from finding the nth partial sum?
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1. Given the following expression:
81
3 9
+
27
+
+
10
100 1000 10000
a) Using sigma notation, write the expression as an infinite series.
b) Find the partial sum S5.
+
c) Determine if the series is convergent or divergent. If it's convergent, find its sum.
Transcribed Image Text:1. Given the following expression: 81 3 9 + 27 + + 10 100 1000 10000 a) Using sigma notation, write the expression as an infinite series. b) Find the partial sum S5. + c) Determine if the series is convergent or divergent. If it's convergent, find its sum.
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