∞ Write out the first few terms of the series Σ n=0 The first term is (-1)" 4 What is the series' sum? (Type an integer or a simplified fraction.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Series Exploration**

**Problem:**  
Write out the first few terms of the series 

\[
\sum_{n=0}^{\infty} \frac{(-1)^n}{4^n}
\]

What is the series' sum?

**Task:**  
Calculate and display the first term of the series. (Type an integer or a simplified fraction in the provided box.)
Transcribed Image Text:**Series Exploration** **Problem:** Write out the first few terms of the series \[ \sum_{n=0}^{\infty} \frac{(-1)^n}{4^n} \] What is the series' sum? **Task:** Calculate and display the first term of the series. (Type an integer or a simplified fraction in the provided box.)
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Step 1: Finding terms

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