Homework Help Question & Answers

4. Show that the sequence defined by a=2 An+1- 3-an satisfies () < an < 2...


4. Show that the sequence defined by a=2 An+1- 3-an satisfies () < an < 2 and is decreasing. Deduce that the sequence is conv
4. Show that the sequence defined by a=2 An+1- 3-an satisfies () < an < 2 and is decreasing. Deduce that the sequence is convergent and find its limit.
0 0
Next > < Previous
ReportAnswer #1

Solution Given anti a = 2 3-an a. 3-a, 3-2 - Az 1 3-az 3-1 2 2 Qy = 3-03 3-1 a < az < az an <anti Sequence decreasing anel HeI <antis 3 The Sequence 16 bad. The sequence monotonic decreasing and boundled Hence the sequence convergent ret lim l ga nol= 3 I 9-4 2 e = 3 I JS २ e 3+ I= 3-55 2 l=2.618 l= 0.381 Sequence 18 decreasing monotonic anal limit tends to Il 3-55 2

Know the answer?
Add Answer of:
4. Show that the sequence defined by a=2 An+1- 3-an satisfies () < an < 2...
Your Answer: Your Name: What's your source?
Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
Free Homework App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
Share Your Knowledge

Post an Article
Post an Answer
Post a Question with Answer

Self-promotion: Authors have the chance of a link back to their own personal blogs or social media profile pages.