Σ whose partial sums are given. an Calculate the sum of the series n = 1 S, = 5 – 4(0.9)"
Σ whose partial sums are given. an Calculate the sum of the series n = 1 S, = 5 – 4(0.9)"
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Calculate the sum of the series**
\[
\sum_{n=1}^{\infty} a_n
\]
**whose partial sums are given.**
\[
s_n = 5 - 4(0.9)^n
\]
The image contains a mathematical problem involving an infinite series. The task is to calculate the sum of the series given by \( \sum_{n=1}^{\infty} a_n \), based on the formula for the partial sums, \( s_n = 5 - 4(0.9)^n \).
There is a box provided for writing the final answer. There are no graphs or diagrams in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd78c4e7c-490d-4a81-a291-db1f5fdbd52e%2Faaf4832c-4e0e-4c17-ad49-e34414837a8b%2Fktlxsmh_processed.png&w=3840&q=75)
Transcribed Image Text:**Calculate the sum of the series**
\[
\sum_{n=1}^{\infty} a_n
\]
**whose partial sums are given.**
\[
s_n = 5 - 4(0.9)^n
\]
The image contains a mathematical problem involving an infinite series. The task is to calculate the sum of the series given by \( \sum_{n=1}^{\infty} a_n \), based on the formula for the partial sums, \( s_n = 5 - 4(0.9)^n \).
There is a box provided for writing the final answer. There are no graphs or diagrams in the image.
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