Consider the sequence {an}n=1, where 200 1 an =D 1 + +글. n2' A. Show that {an}n=1 is a monotone. B. Show by induction that {an}=1 is bounded above by 2. 100 C. Find the limit of this sequence.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
icon
Related questions
Question

How do I solve for this? Is there a way to show the limit of the sequence and its convergence without using other series tests?

Consider the sequence {an}=1, where
1
an = 1++
1
+
32
22
n2'
A. Show that {an}=1 is a monotone.
B. Show by induction that {an}=1 is bounded above by 2.
C. Find the limit of this sequence.
Transcribed Image Text:Consider the sequence {an}=1, where 1 an = 1++ 1 + 32 22 n2' A. Show that {an}=1 is a monotone. B. Show by induction that {an}=1 is bounded above by 2. C. Find the limit of this sequence.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

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