Consider the three infinite series below. (n + 1) (n² – 1) 5(-4)"+2 32n+1 (-1)"–1 00 (i) (ii) (iii) 5n 473 – 2n + 1 n=1 n=1 n= (a) Which of these series is (are) alternating? (b) Which one of these series diverges, and why? (c) One of these series converges absolutely. Which one? Compute its sum.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
icon
Related questions
Question
Consider the three infinite series below.
(n + 1) (n² – 1)
4n3 – 2n + 1
5(-4)"+2
32n+1
(-1)"-1
(i)
(ii) F
(iii)
5n
n=1
n=1
n=1
(a) Which of these series is (are) alternating?
(b) Which one of these series diverges, and why?
(c) One of these series converges absolutely. Which one? Compute its sum.
Transcribed Image Text:Consider the three infinite series below. (n + 1) (n² – 1) 4n3 – 2n + 1 5(-4)"+2 32n+1 (-1)"-1 (i) (ii) F (iii) 5n n=1 n=1 n=1 (a) Which of these series is (are) alternating? (b) Which one of these series diverges, and why? (c) One of these series converges absolutely. Which one? Compute its sum.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage