Which of the following are geometric series? 2" 29" n=0 2(2n)" n=0 2 n5 n=0 n² 3" n=0 WI ¿W! :W? 8WI

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Which of the following are geometric series?**

1. \[
   \sum_{n=0}^{\infty} \frac{2^n}{29^n}
   \]

2. \[
   \sum_{n=0}^{\infty} (2\pi)^{-n}
   \]

3. \[
   \sum_{n=0}^{\infty} \frac{2}{n^5}
   \]

4. \[
   \sum_{n=0}^{\infty} \frac{n^2}{3^n}
   \]

Each series is presented with a checkbox for selection. Identify which series are geometric by analyzing the terms and common ratio.
Transcribed Image Text:**Which of the following are geometric series?** 1. \[ \sum_{n=0}^{\infty} \frac{2^n}{29^n} \] 2. \[ \sum_{n=0}^{\infty} (2\pi)^{-n} \] 3. \[ \sum_{n=0}^{\infty} \frac{2}{n^5} \] 4. \[ \sum_{n=0}^{\infty} \frac{n^2}{3^n} \] Each series is presented with a checkbox for selection. Identify which series are geometric by analyzing the terms and common ratio.
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