Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n > 0, T(n +2) = [T(n + 1) + T(n)]. We are interested in the long term behavior, i.e., what does T(n) look like as n →?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6) What is the limit of T(n) as n -> ∞?

Suppose that T(0)
= a and T(1) = b are some constants. Define the running pairwise average as, for n > 0,
T(n + 2)
= (T(n + 1) + T(n)] .
We are interested in the long term behavior, i.e., what does T(n) look like as n → oo?
Transcribed Image Text:Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n > 0, T(n + 2) = (T(n + 1) + T(n)] . We are interested in the long term behavior, i.e., what does T(n) look like as n → oo?
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