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Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 5 6 7 22 – 12' 3² – 2²° 4² – 32 * n+ 4 an = ,sequence converges to (n + 1)² – n² 2 n+ 4 an = sequence does not converge. (n + 1)² – n² n+ 4 An = (n + 1)² – n² , sequence converges to (). an = , sequence converges to 2 (n + 1)² – n² n+ 4 sequence converges to n² – (n + 1)² 2

Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 5 6 7 22 – 12' 3² – 2²° 4² – 32 * n+ 4 an = ,sequence converges to (n + 1)² – n² 2 n+ 4 an = sequence does not converge. (n + 1)² – n² n+ 4 An = (n + 1)² – n² , sequence converges to (). an = , sequence converges to 2 (n + 1)² – n² n+ 4 sequence converges to n² – (n + 1)² 2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 5 6 7 22 – 12' 32 – 2²° 4² – 32'* n+ 4 (n + 1)? – n2 n +4 an = sequence converges to an = sequence does not converge. (n + 1)? – n2 n + 4 sequence converges to 0. (n + 1)? – n² n an sequence converges to (n + 1)? – n² n+ 4 n2 – (n + 1)2 , sequence converges to 2
Transcribed Image Text:Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 5 6 7 22 – 12' 32 – 2²° 4² – 32'* n+ 4 (n + 1)? – n2 n +4 an = sequence converges to an = sequence does not converge. (n + 1)? – n2 n + 4 sequence converges to 0. (n + 1)? – n² n an sequence converges to (n + 1)? – n² n+ 4 n2 – (n + 1)2 , sequence converges to 2
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