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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5106fef9-b144-4ad0-ba11-5ccc6fafd925%2Fb20771d3-7db1-490d-a55f-d5b5aeda570a%2Ftg4i1t_processed.png&w=3840&q=75)
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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