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 32 - 12' 42 22' 52 - 32

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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Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit.
6.
7
32
- 12 42
22' 52
- 34
n + 4
1
sequence converges to
an =
п? — (п + 2)°
4
n + 4
sequence does not converge.
- n2
An
(n + 2)?
n + 4
an =
sequence converges to 0.
(п + 2)? — п?
1
sequence converges to
4
n
an =
(п + 2)? — п?
n + 4
1
sequence converges to
an =
(n + 2)2 – n²
4
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. 6. 7 32 - 12 42 22' 52 - 34 n + 4 1 sequence converges to an = п? — (п + 2)° 4 n + 4 sequence does not converge. - n2 An (n + 2)? n + 4 an = sequence converges to 0. (п + 2)? — п? 1 sequence converges to 4 n an = (п + 2)? — п? n + 4 1 sequence converges to an = (n + 2)2 – n² 4
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