Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 4 5 2² – 1²’ 3² – 2²' 4² – 32° n+3 an = sequence does not converge. (n + 1)² – n² n + 3 1 sequence converges to An n² – (n + 1)² 2 1 ,sequence converges to an = (n + 1)² – n² 1 sequence converges to n + 3 an = (n + 1)² – n² n+ 3 An = (n + 1)² – n² sequence converges to 0.
Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 4 5 2² – 1²’ 3² – 2²' 4² – 32° n+3 an = sequence does not converge. (n + 1)² – n² n + 3 1 sequence converges to An n² – (n + 1)² 2 1 ,sequence converges to an = (n + 1)² – n² 1 sequence converges to n + 3 an = (n + 1)² – n² n+ 3 An = (n + 1)² – n² sequence converges to 0.
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 72E
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JBGN II
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.
4
2² – 1²' 3² – 2²’ 4? – 32*
|
n +3
an =
, sequence does not converge.
(n + 1)² – n²
n + 3
An =
n² – (n + 1)²
1
,sequence converges to
2
n
1
,sequence converges to
an =
(n + 1)? – n²
n +3
2
an =
(n + 1)? – n²
1
sequence converges to
n+3
an =
(n + 1)? – n²
, sequence converges to 0.
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