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** n + 4 1 , sequence converges to 4 an = (n + 2)? – n² n + 4 sequence converges to 4 an = n? - (n + 2)? n an = sequence converges to (n + 2)? n2 n + 4 An = (n + 2)? – n² , sequence converges to 0. n + 4 an = sequence does not converge. (n1 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 32 1²’ 4² 22' 52 - 32** n + 4 1 , sequence converges to 4 an = (n + 2)? – n² n + 4 sequence converges to 4 an = n? - (n + 2)? n an = sequence converges to (n + 2)? n2 n + 4 An = (n + 2)? – n² , sequence converges to 0. n + 4 an = sequence does not converge. (n1 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 49E
Related questions
Question
Explain and show complete solution
Transcribed Image Text:1, determine whether the sequence converges, and if so find its limit.
Find the general term of the sequence, starting with n =
7
6.
32
12' 4? – 2²' 5² – 3²’*
n + 4
An =
(n + 2)? – n²
', sequence converges to
n + 4
an =
sequence converges to
п? — (п + 2)?
n
an =
sequence converges to
(n + 2)? – n²
n + 4
, sequence converges to 0.
An
(n + 2)? – n?
n + 4
An
, sequence does not converge.
(n + 2)? – n²
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage