Suppose a sequence {an} has this property: there exist constants C and K, with 0 < K < 1, such that - an an+1

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
icon
Related questions
Question
Suppose a sequence {an} has this property: there exist constants C and
K, with 0 < K < 1, such that
-
an an+1 <CK",
for n 1.
Prove that {an} is a Cauchy sequence.
Transcribed Image Text:Suppose a sequence {an} has this property: there exist constants C and K, with 0 < K < 1, such that - an an+1 <CK", for n 1. Prove that {an} is a Cauchy sequence.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Understanding Business
Understanding Business
Management
ISBN:
9781259929434
Author:
William Nickels
Publisher:
McGraw-Hill Education
Management (14th Edition)
Management (14th Edition)
Management
ISBN:
9780134527604
Author:
Stephen P. Robbins, Mary A. Coulter
Publisher:
PEARSON
Spreadsheet Modeling & Decision Analysis: A Pract…
Spreadsheet Modeling & Decision Analysis: A Pract…
Management
ISBN:
9781305947412
Author:
Cliff Ragsdale
Publisher:
Cengage Learning
Management Information Systems: Managing The Digi…
Management Information Systems: Managing The Digi…
Management
ISBN:
9780135191798
Author:
Kenneth C. Laudon, Jane P. Laudon
Publisher:
PEARSON
Business Essentials (12th Edition) (What's New in…
Business Essentials (12th Edition) (What's New in…
Management
ISBN:
9780134728391
Author:
Ronald J. Ebert, Ricky W. Griffin
Publisher:
PEARSON
Fundamentals of Management (10th Edition)
Fundamentals of Management (10th Edition)
Management
ISBN:
9780134237473
Author:
Stephen P. Robbins, Mary A. Coulter, David A. De Cenzo
Publisher:
PEARSON