SlideShare a Scribd company logo
1 of 44
Download to read offline
Sequences, Series, Finance

CHAPTER 1
Chapter 1: Sequences, Series, Finance


    • Content:
        – Introduction
        – Sequences
            • Basic definitions
            • Limit of a sequence
        – Series
            • Partial sums
            • Series and convergence of series



BCOR 110, A-2011                                 2
Chapter 1: Sequences, Series, Finance


    • Content-continued
        – Finance
            •   Simple interest and compound interest
            •   Periodic payments
            •   Loan repayments, redemption tables
            •   Investment projects
            •   Depreciation




BCOR 110, A-2011                                        3
1. Introduction

    • Sequences and Series play important roles in
      business applications
    • Several finance problems are approached
      through sequences and series
    • This chapter will treat some of these topics




BCOR 110, A-2011                                     4
CH01-PART2

SERIES


             5
Series

    • Partial Sums




BCOR 110, A-2011              6
Series-Partial Sums




BCOR 110, A-2011                   7
Series-Partial Sums




BCOR 110, A-2011                   8
Series-Partial Sums




BCOR 110, A-2011                   9
Series-Partial Sums




BCOR 110, A-2011                   10
Series-Partial Sums




BCOR 110, A-2011                   11
Series-Partial Sums




BCOR 110, A-2011                   12
Example 2.14 (cont.)




BCOR 110, A-2011                   13
Example 2.14 (cont.)




BCOR 110, A-2011                   14
Example 2.14 (cont.)




BCOR 110, A-2011                   15
Series & Convergence of Series




BCOR 110, A-2011                  16
Series & Convergence of Series




     Converges. We apply Theorem 2.1 to the partial sums {sn}.




BCOR 110, A-2011                                                 17
Series & Convergence of Series




BCOR 110, A-2011                  18
Series & Convergence of Series




BCOR 110, A-2011                  19
Series & Convergence of Series




BCOR 110, A-2011                  20
Series & Convergence of Series




BCOR 110, A-2011                  21
Series & Convergence of Series




BCOR 110, A-2011                  22
Series & Convergence of Series




BCOR 110, A-2011                  23
Series & Convergence of Series




BCOR 110, A-2011                  24
Series & Convergence of Series




BCOR 110, A-2011                  25
Series & Convergence of Series




BCOR 110, A-2011                  26
Series & Convergence of Series




BCOR 110, A-2011                  27
Series & Convergence of Series




BCOR 110, A-2011                  28
Series & Convergence of Series




BCOR 110, A-2011                  29
Series & Convergence of Series




BCOR 110, A-2011                  30
Series & Convergence of Series




BCOR 110, A-2011                  31
Series & Convergence of Series




BCOR 110, A-2011                  32
Series & Convergence of Series




BCOR 110, A-2011                  33
Series & Convergence of Series




BCOR 110, A-2011                  34
Series & Convergence of Series




BCOR 110, A-2011                  35
Series & Convergence of Series




BCOR 110, A-2011                  36
Series & Convergence of Series




BCOR 110, A-2011                  37
Series & Convergence of Series




BCOR 110, A-2011                  38
Series & Convergence of Series




BCOR 110, A-2011                  39
Series & Convergence of Series




BCOR 110, A-2011                  40
Series & Convergence of Series




BCOR 110, A-2011                  41
Series & Convergence of Series




BCOR 110, A-2011                  42
Series & Convergence of Series




BCOR 110, A-2011                  43
Series & Convergence of Series




BCOR 110, A-2011                  44

More Related Content

Recently uploaded

MONA 98765-12871 CALL GIRLS IN LUDHIANA LUDHIANA CALL GIRL
MONA 98765-12871 CALL GIRLS IN LUDHIANA LUDHIANA CALL GIRLMONA 98765-12871 CALL GIRLS IN LUDHIANA LUDHIANA CALL GIRL
MONA 98765-12871 CALL GIRLS IN LUDHIANA LUDHIANA CALL GIRLSeo
 
Lucknow 💋 Escorts in Lucknow - 450+ Call Girl Cash Payment 8923113531 Neha Th...
Lucknow 💋 Escorts in Lucknow - 450+ Call Girl Cash Payment 8923113531 Neha Th...Lucknow 💋 Escorts in Lucknow - 450+ Call Girl Cash Payment 8923113531 Neha Th...
Lucknow 💋 Escorts in Lucknow - 450+ Call Girl Cash Payment 8923113531 Neha Th...anilsa9823
 
Boost the utilization of your HCL environment by reevaluating use cases and f...
Boost the utilization of your HCL environment by reevaluating use cases and f...Boost the utilization of your HCL environment by reevaluating use cases and f...
Boost the utilization of your HCL environment by reevaluating use cases and f...Roland Driesen
 
HONOR Veterans Event Keynote by Michael Hawkins
HONOR Veterans Event Keynote by Michael HawkinsHONOR Veterans Event Keynote by Michael Hawkins
HONOR Veterans Event Keynote by Michael HawkinsMichael W. Hawkins
 
Monte Carlo simulation : Simulation using MCSM
Monte Carlo simulation : Simulation using MCSMMonte Carlo simulation : Simulation using MCSM
Monte Carlo simulation : Simulation using MCSMRavindra Nath Shukla
 
Tech Startup Growth Hacking 101 - Basics on Growth Marketing
Tech Startup Growth Hacking 101  - Basics on Growth MarketingTech Startup Growth Hacking 101  - Basics on Growth Marketing
Tech Startup Growth Hacking 101 - Basics on Growth MarketingShawn Pang
 
GD Birla and his contribution in management
GD Birla and his contribution in managementGD Birla and his contribution in management
GD Birla and his contribution in managementchhavia330
 
9599632723 Top Call Girls in Delhi at your Door Step Available 24x7 Delhi
9599632723 Top Call Girls in Delhi at your Door Step Available 24x7 Delhi9599632723 Top Call Girls in Delhi at your Door Step Available 24x7 Delhi
9599632723 Top Call Girls in Delhi at your Door Step Available 24x7 DelhiCall Girls in Delhi
 
VIP Kolkata Call Girl Howrah 👉 8250192130 Available With Room
VIP Kolkata Call Girl Howrah 👉 8250192130  Available With RoomVIP Kolkata Call Girl Howrah 👉 8250192130  Available With Room
VIP Kolkata Call Girl Howrah 👉 8250192130 Available With Roomdivyansh0kumar0
 
Monthly Social Media Update April 2024 pptx.pptx
Monthly Social Media Update April 2024 pptx.pptxMonthly Social Media Update April 2024 pptx.pptx
Monthly Social Media Update April 2024 pptx.pptxAndy Lambert
 
M.C Lodges -- Guest House in Jhang.
M.C Lodges --  Guest House in Jhang.M.C Lodges --  Guest House in Jhang.
M.C Lodges -- Guest House in Jhang.Aaiza Hassan
 
Event mailer assignment progress report .pdf
Event mailer assignment progress report .pdfEvent mailer assignment progress report .pdf
Event mailer assignment progress report .pdftbatkhuu1
 
Mondelez State of Snacking and Future Trends 2023
Mondelez State of Snacking and Future Trends 2023Mondelez State of Snacking and Future Trends 2023
Mondelez State of Snacking and Future Trends 2023Neil Kimberley
 
Russian Faridabad Call Girls(Badarpur) : ☎ 8168257667, @4999
Russian Faridabad Call Girls(Badarpur) : ☎ 8168257667, @4999Russian Faridabad Call Girls(Badarpur) : ☎ 8168257667, @4999
Russian Faridabad Call Girls(Badarpur) : ☎ 8168257667, @4999Tina Ji
 
Enhancing and Restoring Safety & Quality Cultures - Dave Litwiller - May 2024...
Enhancing and Restoring Safety & Quality Cultures - Dave Litwiller - May 2024...Enhancing and Restoring Safety & Quality Cultures - Dave Litwiller - May 2024...
Enhancing and Restoring Safety & Quality Cultures - Dave Litwiller - May 2024...Dave Litwiller
 
Best VIP Call Girls Noida Sector 40 Call Me: 8448380779
Best VIP Call Girls Noida Sector 40 Call Me: 8448380779Best VIP Call Girls Noida Sector 40 Call Me: 8448380779
Best VIP Call Girls Noida Sector 40 Call Me: 8448380779Delhi Call girls
 
Call Girls In Panjim North Goa 9971646499 Genuine Service
Call Girls In Panjim North Goa 9971646499 Genuine ServiceCall Girls In Panjim North Goa 9971646499 Genuine Service
Call Girls In Panjim North Goa 9971646499 Genuine Serviceritikaroy0888
 
Pharma Works Profile of Karan Communications
Pharma Works Profile of Karan CommunicationsPharma Works Profile of Karan Communications
Pharma Works Profile of Karan Communicationskarancommunications
 
Sales & Marketing Alignment: How to Synergize for Success
Sales & Marketing Alignment: How to Synergize for SuccessSales & Marketing Alignment: How to Synergize for Success
Sales & Marketing Alignment: How to Synergize for SuccessAggregage
 
Grateful 7 speech thanking everyone that has helped.pdf
Grateful 7 speech thanking everyone that has helped.pdfGrateful 7 speech thanking everyone that has helped.pdf
Grateful 7 speech thanking everyone that has helped.pdfPaul Menig
 

Recently uploaded (20)

MONA 98765-12871 CALL GIRLS IN LUDHIANA LUDHIANA CALL GIRL
MONA 98765-12871 CALL GIRLS IN LUDHIANA LUDHIANA CALL GIRLMONA 98765-12871 CALL GIRLS IN LUDHIANA LUDHIANA CALL GIRL
MONA 98765-12871 CALL GIRLS IN LUDHIANA LUDHIANA CALL GIRL
 
Lucknow 💋 Escorts in Lucknow - 450+ Call Girl Cash Payment 8923113531 Neha Th...
Lucknow 💋 Escorts in Lucknow - 450+ Call Girl Cash Payment 8923113531 Neha Th...Lucknow 💋 Escorts in Lucknow - 450+ Call Girl Cash Payment 8923113531 Neha Th...
Lucknow 💋 Escorts in Lucknow - 450+ Call Girl Cash Payment 8923113531 Neha Th...
 
Boost the utilization of your HCL environment by reevaluating use cases and f...
Boost the utilization of your HCL environment by reevaluating use cases and f...Boost the utilization of your HCL environment by reevaluating use cases and f...
Boost the utilization of your HCL environment by reevaluating use cases and f...
 
HONOR Veterans Event Keynote by Michael Hawkins
HONOR Veterans Event Keynote by Michael HawkinsHONOR Veterans Event Keynote by Michael Hawkins
HONOR Veterans Event Keynote by Michael Hawkins
 
Monte Carlo simulation : Simulation using MCSM
Monte Carlo simulation : Simulation using MCSMMonte Carlo simulation : Simulation using MCSM
Monte Carlo simulation : Simulation using MCSM
 
Tech Startup Growth Hacking 101 - Basics on Growth Marketing
Tech Startup Growth Hacking 101  - Basics on Growth MarketingTech Startup Growth Hacking 101  - Basics on Growth Marketing
Tech Startup Growth Hacking 101 - Basics on Growth Marketing
 
GD Birla and his contribution in management
GD Birla and his contribution in managementGD Birla and his contribution in management
GD Birla and his contribution in management
 
9599632723 Top Call Girls in Delhi at your Door Step Available 24x7 Delhi
9599632723 Top Call Girls in Delhi at your Door Step Available 24x7 Delhi9599632723 Top Call Girls in Delhi at your Door Step Available 24x7 Delhi
9599632723 Top Call Girls in Delhi at your Door Step Available 24x7 Delhi
 
VIP Kolkata Call Girl Howrah 👉 8250192130 Available With Room
VIP Kolkata Call Girl Howrah 👉 8250192130  Available With RoomVIP Kolkata Call Girl Howrah 👉 8250192130  Available With Room
VIP Kolkata Call Girl Howrah 👉 8250192130 Available With Room
 
Monthly Social Media Update April 2024 pptx.pptx
Monthly Social Media Update April 2024 pptx.pptxMonthly Social Media Update April 2024 pptx.pptx
Monthly Social Media Update April 2024 pptx.pptx
 
M.C Lodges -- Guest House in Jhang.
M.C Lodges --  Guest House in Jhang.M.C Lodges --  Guest House in Jhang.
M.C Lodges -- Guest House in Jhang.
 
Event mailer assignment progress report .pdf
Event mailer assignment progress report .pdfEvent mailer assignment progress report .pdf
Event mailer assignment progress report .pdf
 
Mondelez State of Snacking and Future Trends 2023
Mondelez State of Snacking and Future Trends 2023Mondelez State of Snacking and Future Trends 2023
Mondelez State of Snacking and Future Trends 2023
 
Russian Faridabad Call Girls(Badarpur) : ☎ 8168257667, @4999
Russian Faridabad Call Girls(Badarpur) : ☎ 8168257667, @4999Russian Faridabad Call Girls(Badarpur) : ☎ 8168257667, @4999
Russian Faridabad Call Girls(Badarpur) : ☎ 8168257667, @4999
 
Enhancing and Restoring Safety & Quality Cultures - Dave Litwiller - May 2024...
Enhancing and Restoring Safety & Quality Cultures - Dave Litwiller - May 2024...Enhancing and Restoring Safety & Quality Cultures - Dave Litwiller - May 2024...
Enhancing and Restoring Safety & Quality Cultures - Dave Litwiller - May 2024...
 
Best VIP Call Girls Noida Sector 40 Call Me: 8448380779
Best VIP Call Girls Noida Sector 40 Call Me: 8448380779Best VIP Call Girls Noida Sector 40 Call Me: 8448380779
Best VIP Call Girls Noida Sector 40 Call Me: 8448380779
 
Call Girls In Panjim North Goa 9971646499 Genuine Service
Call Girls In Panjim North Goa 9971646499 Genuine ServiceCall Girls In Panjim North Goa 9971646499 Genuine Service
Call Girls In Panjim North Goa 9971646499 Genuine Service
 
Pharma Works Profile of Karan Communications
Pharma Works Profile of Karan CommunicationsPharma Works Profile of Karan Communications
Pharma Works Profile of Karan Communications
 
Sales & Marketing Alignment: How to Synergize for Success
Sales & Marketing Alignment: How to Synergize for SuccessSales & Marketing Alignment: How to Synergize for Success
Sales & Marketing Alignment: How to Synergize for Success
 
Grateful 7 speech thanking everyone that has helped.pdf
Grateful 7 speech thanking everyone that has helped.pdfGrateful 7 speech thanking everyone that has helped.pdf
Grateful 7 speech thanking everyone that has helped.pdf
 

Featured

2024 State of Marketing Report – by Hubspot
2024 State of Marketing Report – by Hubspot2024 State of Marketing Report – by Hubspot
2024 State of Marketing Report – by HubspotMarius Sescu
 
Everything You Need To Know About ChatGPT
Everything You Need To Know About ChatGPTEverything You Need To Know About ChatGPT
Everything You Need To Know About ChatGPTExpeed Software
 
Product Design Trends in 2024 | Teenage Engineerings
Product Design Trends in 2024 | Teenage EngineeringsProduct Design Trends in 2024 | Teenage Engineerings
Product Design Trends in 2024 | Teenage EngineeringsPixeldarts
 
How Race, Age and Gender Shape Attitudes Towards Mental Health
How Race, Age and Gender Shape Attitudes Towards Mental HealthHow Race, Age and Gender Shape Attitudes Towards Mental Health
How Race, Age and Gender Shape Attitudes Towards Mental HealthThinkNow
 
AI Trends in Creative Operations 2024 by Artwork Flow.pdf
AI Trends in Creative Operations 2024 by Artwork Flow.pdfAI Trends in Creative Operations 2024 by Artwork Flow.pdf
AI Trends in Creative Operations 2024 by Artwork Flow.pdfmarketingartwork
 
PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024Neil Kimberley
 
Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)contently
 
How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024Albert Qian
 
Social Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie InsightsSocial Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie InsightsKurio // The Social Media Age(ncy)
 
Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024Search Engine Journal
 
5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summarySpeakerHub
 
ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd Clark Boyd
 
Getting into the tech field. what next
Getting into the tech field. what next Getting into the tech field. what next
Getting into the tech field. what next Tessa Mero
 
Google's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search IntentGoogle's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search IntentLily Ray
 
Time Management & Productivity - Best Practices
Time Management & Productivity -  Best PracticesTime Management & Productivity -  Best Practices
Time Management & Productivity - Best PracticesVit Horky
 
The six step guide to practical project management
The six step guide to practical project managementThe six step guide to practical project management
The six step guide to practical project managementMindGenius
 
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...RachelPearson36
 

Featured (20)

2024 State of Marketing Report – by Hubspot
2024 State of Marketing Report – by Hubspot2024 State of Marketing Report – by Hubspot
2024 State of Marketing Report – by Hubspot
 
Everything You Need To Know About ChatGPT
Everything You Need To Know About ChatGPTEverything You Need To Know About ChatGPT
Everything You Need To Know About ChatGPT
 
Product Design Trends in 2024 | Teenage Engineerings
Product Design Trends in 2024 | Teenage EngineeringsProduct Design Trends in 2024 | Teenage Engineerings
Product Design Trends in 2024 | Teenage Engineerings
 
How Race, Age and Gender Shape Attitudes Towards Mental Health
How Race, Age and Gender Shape Attitudes Towards Mental HealthHow Race, Age and Gender Shape Attitudes Towards Mental Health
How Race, Age and Gender Shape Attitudes Towards Mental Health
 
AI Trends in Creative Operations 2024 by Artwork Flow.pdf
AI Trends in Creative Operations 2024 by Artwork Flow.pdfAI Trends in Creative Operations 2024 by Artwork Flow.pdf
AI Trends in Creative Operations 2024 by Artwork Flow.pdf
 
Skeleton Culture Code
Skeleton Culture CodeSkeleton Culture Code
Skeleton Culture Code
 
PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024
 
Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)
 
How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024
 
Social Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie InsightsSocial Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie Insights
 
Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024
 
5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary
 
ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd
 
Getting into the tech field. what next
Getting into the tech field. what next Getting into the tech field. what next
Getting into the tech field. what next
 
Google's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search IntentGoogle's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search Intent
 
How to have difficult conversations
How to have difficult conversations How to have difficult conversations
How to have difficult conversations
 
Introduction to Data Science
Introduction to Data ScienceIntroduction to Data Science
Introduction to Data Science
 
Time Management & Productivity - Best Practices
Time Management & Productivity -  Best PracticesTime Management & Productivity -  Best Practices
Time Management & Productivity - Best Practices
 
The six step guide to practical project management
The six step guide to practical project managementThe six step guide to practical project management
The six step guide to practical project management
 
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
 

Ch01 part 2 series