Answered: a, = In(2n? + 1) – In(n? + 1)

Name: Determine whether the sequence converges or diverges.If it converges,
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Description: Determine whether the sequence converges or diverges.If it converges, find the limit. a, = In(2n? + 1) – In(n? + 1)

Math

Calculus

a, = In(2n? + 1) – In(n? + 1)

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

Section8.5: Mathematical Induction

Problem 32E: Prove by induction that 1+2n3n for n1.

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Determine whether the sequence converges or diverges.
If it converges, find the limit.

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