= 1, an+1 = 2a²+1 4 η Σ
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 31WE
Related questions
Question
(a) Show that the sequence is strongly decreasing and downward bounded. (b) Show that the sequence converges and find the limit value limn→∞ an.
![a₁ = 1,
an+1 =
2a² + 1
4
n ≥ 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9071221f-5482-42e2-a76d-06f20b84313c%2Fc4e07060-1755-4149-b574-253365d40c0c%2Fz5fs7ml_processed.png&w=3840&q=75)
Transcribed Image Text:a₁ = 1,
an+1 =
2a² + 1
4
n ≥ 1.
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