4. Let a₁ = 1 and an+1 = √8+ an Show that the sequence {an}1 is convergent and find its limit.
4. Let a₁ = 1 and an+1 = √8+ an Show that the sequence {an}1 is convergent and find its limit.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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![4. Let a₁ = 1 and
an+1 =
√8+ an
Show that the sequence {an}1 is convergent and find its limit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2e948f6-fd6f-485f-942e-c931230f8579%2F8438da29-d89b-44f2-b65f-268302a036e9%2Fdzp931p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let a₁ = 1 and
an+1 =
√8+ an
Show that the sequence {an}1 is convergent and find its limit.
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