Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![### Problem Statement
Let {a_n} be a sequence such that, for \( 0 < a_0 < a_1 \),
\[
a_{n+1} = \frac{a_n + a_{n-1}}{2}, \quad n \geq 2
\]
Then, what is \( \lim_{n \to \infty} a_n \)?](https://content.bartleby.com/qna-images/question/2c07220d-ca17-4b4a-9c07-9176cc38cf32/b166c652-d508-4de1-a788-e6d77bcf9ff2/k9nozqw_processed.jpeg)
Transcribed Image Text:### Problem Statement
Let {a_n} be a sequence such that, for \( 0 < a_0 < a_1 \),
\[
a_{n+1} = \frac{a_n + a_{n-1}}{2}, \quad n \geq 2
\]
Then, what is \( \lim_{n \to \infty} a_n \)?
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