Consider the sequence     an = ((2n + 6)!)/(n + 3)!), n ≥ 1 (a) Determine if the sequence is monotonic. (b) Determine if the sequence is bounded. (c) does the sequence converge or diverge?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 33E
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Consider the sequence     an = ((2n + 6)!)/(n + 3)!), n ≥ 1

  • (a) Determine if the sequence is monotonic.
  • (b) Determine if the sequence is bounded.
  • (c) does the sequence converge or diverge? 
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