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For each of the following sequences, find a recursive formula for an, and explicit formula for an, and calculate S20. If possible, find So (30 points) (a) 15, 20, 25, 30, ... (b) 3, -6, 12, -24.... (c) 12,4, , , ...

For each of the following sequences, find a recursive formula for an, and explicit formula for an, and calculate S20. If possible, find So (30 points) (a) 15, 20, 25, 30, ... (b) 3, -6, 12, -24.... (c) 12,4, , , ...

Advanced Engineering Mathematics
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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1. For each of the following sequences, find a recursive formula for \( a_n \), and explicit formula for \( a_n \), and calculate \( S_{20} \). If possible, find \( S_{\infty} \). (30 points) (a) 15, 20, 25, 30, ... (b) 3, -6, 12, -24, ... (c) 12, 4, \(\frac{4}{3}\), \(\frac{4}{9}\), ...
Transcribed Image Text:1. For each of the following sequences, find a recursive formula for \( a_n \), and explicit formula for \( a_n \), and calculate \( S_{20} \). If possible, find \( S_{\infty} \). (30 points) (a) 15, 20, 25, 30, ... (b) 3, -6, 12, -24, ... (c) 12, 4, \(\frac{4}{3}\), \(\frac{4}{9}\), ...
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