Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 6. 7 32 12' 42 22' 5² – 3² ’** 1 ' , sequence converges to n + 4 An (n + 2)? – n² n + 4 - , sequence converges to 4 a, = n2 – (n + 2)² ', sequence converges to n2 An = (n + 2)² 4' n + 4 An = (n + 2)? – n² sequence converges to 0. n + 4 an = ' , sequence does not converge. (n + 2)? – n2
Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 6. 7 32 12' 42 22' 5² – 3² ’** 1 ' , sequence converges to n + 4 An (n + 2)? – n² n + 4 - , sequence converges to 4 a, = n2 – (n + 2)² ', sequence converges to n2 An = (n + 2)² 4' n + 4 An = (n + 2)? – n² sequence converges to 0. n + 4 an = ' , sequence does not converge. (n + 2)? – n2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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