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
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**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.
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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