S1 || 12 and Sn+1 = 8sn +33 for n ≥ 1.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the Monotone Convergence Theorem to prove that each of the following sequences is convergent and then find the limit of each sequence.
Transcribed Image Text:12
S1 1 = ²/2
and
Sn+1
=
8sn +33 for n ≥1.
Expert Solution
Step 1: We write what we have to find out and given
Use the Monotone Convergence Theorem to prove that each of the following sequences is convergent and then find the limit of each sequence.
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