Assume that the recursively defined sequence converges and find its limit.a1a₁ = 3, an+ 1421+ anThe sequence converges to(Type an integer or a decimal.)

The recursively defined sequence is a1 = 3 ,an+1 = 42/(1+an) and which is convergent.

Answered: Assume that the recursively defined…

Assume that the recursively defined sequence converges and find its limit. a₁ = 3, an+ 1 42 1+ an The sequence converges to (Type an integer or a decimal.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.2: Sequences, Series And Summation Notation

Problem 42E

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Question

Assume that the recursively defined sequence converges and find its limit.
a1
a₁ = 3, an+ 1
42
1+ an
The sequence converges to
(Type an integer or a decimal.)

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