Answer: Limits of sequences Write the terms a1, a2, a3,

Chapter 14, Problem 29E

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QUESTION:

Limits of sequences Write the terms \(a_{1}, a_{2}, a_{3}\), and \(a_{4}\) of the following sequences. If the sequence appears to converge, make a conjecture about its limit. If the sequence diverges, explain why.

\(a_{n+1}=0.5 a_{n}+50 ; \ \ a_{0}=100\)

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QUESTION:

Limits of sequences Write the terms \(a_{1}, a_{2}, a_{3}\), and \(a_{4}\) of the following sequences. If the sequence appears to converge, make a conjecture about its limit. If the sequence diverges, explain why.

\(a_{n+1}=0.5 a_{n}+50 ; \ \ a_{0}=100\)

ANSWER:

Step 1 of 3

Use formula to find the first four terms of the sequence.

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