Find the general term of the sequence, starting with n 1,determine whether the sequence converges, and if so find its limit 5. 2-1 3 7. -22 42-32" n+4 sequence converges to n2 - (n + 1) n+4 ,sequence converges to 0. an (n+ 1) - n² 1 ,sequence converges to n+ 4 an = 2 (n+ 1)- n 1 72 a = , sequence converges to (n + 1) - n² n+ 4 sequence does not converge. (n + 1) - n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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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.
24-1232-224²-33
**
n+4
an
sequence converges to
2.
%3D
n2 - (n + 1)
n+4
an
sequence converges to 0.
%3D
(n+1)-n²
1
,sequence converges to
n+4
an
%3D
2.
(n+1)-n²
1
as
sequence converges to
(n+ 1) - n²
n+4
an
sequence does not converge.
(n+1)2-n²
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. 24-1232-224²-33 ** n+4 an sequence converges to 2. %3D n2 - (n + 1) n+4 an sequence converges to 0. %3D (n+1)-n² 1 ,sequence converges to n+4 an %3D 2. (n+1)-n² 1 as sequence converges to (n+ 1) - n² n+4 an sequence does not converge. (n+1)2-n²
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