lim s n where s₁ = 1, and S n+1 = (1 – = -)Sn n+31 for n ≥ 1.
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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![The mathematical expression describes a sequence \((s_n)\) and its behavior as \(n\) approaches infinity. Here is the transcription:
- We are interested in finding \(\lim_{n \to \infty} s_n\).
- The sequence is defined with the initial term: \(s_1 = 1\).
- The recursive formula for subsequent terms is given by:
\[
s_{n+1} = \left(1 - \frac{1}{n+3}\right)s_n
\]
- This formula is valid for \(n \geq 1\).
The expression investigates how the terms \(s_n\) behave or converge as \(n\) increases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe00cebfb-aec4-474d-8979-79a2d105b819%2F32aef469-247a-44a0-be62-3d66d66dece4%2Fk4emjp_processed.png&w=3840&q=75)
Transcribed Image Text:The mathematical expression describes a sequence \((s_n)\) and its behavior as \(n\) approaches infinity. Here is the transcription:
- We are interested in finding \(\lim_{n \to \infty} s_n\).
- The sequence is defined with the initial term: \(s_1 = 1\).
- The recursive formula for subsequent terms is given by:
\[
s_{n+1} = \left(1 - \frac{1}{n+3}\right)s_n
\]
- This formula is valid for \(n \geq 1\).
The expression investigates how the terms \(s_n\) behave or converge as \(n\) increases.
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