Find the general term of the sequence, starting withn = 1, determine whether the sequence converges, and if so find its limit. 4. 6. 22 12 32- 22 4? - 32* ... n+ 3 an = (n + 1)? – n2 , sequence converges to 0. n + 3 1 , sequence converges to an %3D (n + 1) - n² n+ 3 an , sequence does not converge. %3D (n + 1)? – n² n + 3 an , sequence converges to n2 - (n + 1) 2 an = (n + 1)? – n² sequence converges to 21 O.
Find the general term of the sequence, starting withn = 1, determine whether the sequence converges, and if so find its limit. 4. 6. 22 12 32- 22 4? - 32* ... n+ 3 an = (n + 1)? – n2 , sequence converges to 0. n + 3 1 , sequence converges to an %3D (n + 1) - n² n+ 3 an , sequence does not converge. %3D (n + 1)? – n² n + 3 an , sequence converges to n2 - (n + 1) 2 an = (n + 1)? – n² sequence converges to 21 O.
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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Transcribed Image Text:Find the general term of the sequence, starting withn = 1, determine whether the sequence converges, and if so find its limit.
4.
6.
22 - 12 32- 22 42 - 32
n+ 3
an
sequence converges to 0.
(n + 1)? - n2
n + 3
an
%3D
sequence converges to
(n + 1)? – n2
n + 3
an
sequence does not converge.
%3D
(n + 1)? – n²
n + 3
an =
n2 - (n + 1)
sequence converges to
an =
(n + 1)? – n²
, sequence converges to
21
- I'N - |N
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