SlideShare a Scribd company logo
Section 8-2
 Limits of Sequences
Warm-up
 Estimate the millionth term of each sequence to the
             nearest integer, if possible.
1. For all positive integers n, the following sequence:
                            3n − 2
                       an =
                             n+1
            2. The sequence defined by:
               ⎧b1 = 400
               ⎪
               ⎨
               ⎪bn = .9bn − 1 , for int n ≥ 2
               ⎩
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2
Notes 8-2

More Related Content

More from Jimbo Lamb

Geometry Section 1-5
Geometry Section 1-5Geometry Section 1-5
Geometry Section 1-5
Jimbo Lamb
 
Geometry Section 1-4
Geometry Section 1-4Geometry Section 1-4
Geometry Section 1-4
Jimbo Lamb
 
Geometry Section 1-3
Geometry Section 1-3Geometry Section 1-3
Geometry Section 1-3
Jimbo Lamb
 
Geometry Section 1-2
Geometry Section 1-2Geometry Section 1-2
Geometry Section 1-2
Jimbo Lamb
 
Geometry Section 1-2
Geometry Section 1-2Geometry Section 1-2
Geometry Section 1-2
Jimbo Lamb
 
Geometry Section 1-1
Geometry Section 1-1Geometry Section 1-1
Geometry Section 1-1
Jimbo Lamb
 
Algebra 2 Section 5-3
Algebra 2 Section 5-3Algebra 2 Section 5-3
Algebra 2 Section 5-3
Jimbo Lamb
 
Algebra 2 Section 5-2
Algebra 2 Section 5-2Algebra 2 Section 5-2
Algebra 2 Section 5-2
Jimbo Lamb
 
Algebra 2 Section 5-1
Algebra 2 Section 5-1Algebra 2 Section 5-1
Algebra 2 Section 5-1
Jimbo Lamb
 
Algebra 2 Section 4-9
Algebra 2 Section 4-9Algebra 2 Section 4-9
Algebra 2 Section 4-9
Jimbo Lamb
 
Algebra 2 Section 4-8
Algebra 2 Section 4-8Algebra 2 Section 4-8
Algebra 2 Section 4-8
Jimbo Lamb
 
Algebra 2 Section 4-6
Algebra 2 Section 4-6Algebra 2 Section 4-6
Algebra 2 Section 4-6
Jimbo Lamb
 
Geometry Section 6-6
Geometry Section 6-6Geometry Section 6-6
Geometry Section 6-6
Jimbo Lamb
 
Geometry Section 6-5
Geometry Section 6-5Geometry Section 6-5
Geometry Section 6-5
Jimbo Lamb
 
Geometry Section 6-4
Geometry Section 6-4Geometry Section 6-4
Geometry Section 6-4
Jimbo Lamb
 
Geometry Section 6-3
Geometry Section 6-3Geometry Section 6-3
Geometry Section 6-3
Jimbo Lamb
 
Geometry Section 6-2
Geometry Section 6-2Geometry Section 6-2
Geometry Section 6-2
Jimbo Lamb
 
Geometry Section 6-1
Geometry Section 6-1Geometry Section 6-1
Geometry Section 6-1
Jimbo Lamb
 
Algebra 2 Section 4-5
Algebra 2 Section 4-5Algebra 2 Section 4-5
Algebra 2 Section 4-5
Jimbo Lamb
 
Algebra 2 Section 4-4
Algebra 2 Section 4-4Algebra 2 Section 4-4
Algebra 2 Section 4-4
Jimbo Lamb
 

More from Jimbo Lamb (20)

Geometry Section 1-5
Geometry Section 1-5Geometry Section 1-5
Geometry Section 1-5
 
Geometry Section 1-4
Geometry Section 1-4Geometry Section 1-4
Geometry Section 1-4
 
Geometry Section 1-3
Geometry Section 1-3Geometry Section 1-3
Geometry Section 1-3
 
Geometry Section 1-2
Geometry Section 1-2Geometry Section 1-2
Geometry Section 1-2
 
Geometry Section 1-2
Geometry Section 1-2Geometry Section 1-2
Geometry Section 1-2
 
Geometry Section 1-1
Geometry Section 1-1Geometry Section 1-1
Geometry Section 1-1
 
Algebra 2 Section 5-3
Algebra 2 Section 5-3Algebra 2 Section 5-3
Algebra 2 Section 5-3
 
Algebra 2 Section 5-2
Algebra 2 Section 5-2Algebra 2 Section 5-2
Algebra 2 Section 5-2
 
Algebra 2 Section 5-1
Algebra 2 Section 5-1Algebra 2 Section 5-1
Algebra 2 Section 5-1
 
Algebra 2 Section 4-9
Algebra 2 Section 4-9Algebra 2 Section 4-9
Algebra 2 Section 4-9
 
Algebra 2 Section 4-8
Algebra 2 Section 4-8Algebra 2 Section 4-8
Algebra 2 Section 4-8
 
Algebra 2 Section 4-6
Algebra 2 Section 4-6Algebra 2 Section 4-6
Algebra 2 Section 4-6
 
Geometry Section 6-6
Geometry Section 6-6Geometry Section 6-6
Geometry Section 6-6
 
Geometry Section 6-5
Geometry Section 6-5Geometry Section 6-5
Geometry Section 6-5
 
Geometry Section 6-4
Geometry Section 6-4Geometry Section 6-4
Geometry Section 6-4
 
Geometry Section 6-3
Geometry Section 6-3Geometry Section 6-3
Geometry Section 6-3
 
Geometry Section 6-2
Geometry Section 6-2Geometry Section 6-2
Geometry Section 6-2
 
Geometry Section 6-1
Geometry Section 6-1Geometry Section 6-1
Geometry Section 6-1
 
Algebra 2 Section 4-5
Algebra 2 Section 4-5Algebra 2 Section 4-5
Algebra 2 Section 4-5
 
Algebra 2 Section 4-4
Algebra 2 Section 4-4Algebra 2 Section 4-4
Algebra 2 Section 4-4
 

Recently uploaded

Driving Business Innovation: Latest Generative AI Advancements & Success Story
Driving Business Innovation: Latest Generative AI Advancements & Success StoryDriving Business Innovation: Latest Generative AI Advancements & Success Story
Driving Business Innovation: Latest Generative AI Advancements & Success Story
Safe Software
 
UiPath Test Automation using UiPath Test Suite series, part 6
UiPath Test Automation using UiPath Test Suite series, part 6UiPath Test Automation using UiPath Test Suite series, part 6
UiPath Test Automation using UiPath Test Suite series, part 6
DianaGray10
 
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdfObservability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf
Paige Cruz
 
Pushing the limits of ePRTC: 100ns holdover for 100 days
Pushing the limits of ePRTC: 100ns holdover for 100 daysPushing the limits of ePRTC: 100ns holdover for 100 days
Pushing the limits of ePRTC: 100ns holdover for 100 days
Adtran
 
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAUHCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
panagenda
 
How to Get CNIC Information System with Paksim Ga.pptx
How to Get CNIC Information System with Paksim Ga.pptxHow to Get CNIC Information System with Paksim Ga.pptx
How to Get CNIC Information System with Paksim Ga.pptx
danishmna97
 
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024
GraphSummit Singapore | The Art of the  Possible with Graph - Q2 2024GraphSummit Singapore | The Art of the  Possible with Graph - Q2 2024
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024
Neo4j
 
Removing Uninteresting Bytes in Software Fuzzing
Removing Uninteresting Bytes in Software FuzzingRemoving Uninteresting Bytes in Software Fuzzing
Removing Uninteresting Bytes in Software Fuzzing
Aftab Hussain
 
Mind map of terminologies used in context of Generative AI
Mind map of terminologies used in context of Generative AIMind map of terminologies used in context of Generative AI
Mind map of terminologies used in context of Generative AI
Kumud Singh
 
How to use Firebase Data Connect For Flutter
How to use Firebase Data Connect For FlutterHow to use Firebase Data Connect For Flutter
How to use Firebase Data Connect For Flutter
Daiki Mogmet Ito
 
Infrastructure Challenges in Scaling RAG with Custom AI models
Infrastructure Challenges in Scaling RAG with Custom AI modelsInfrastructure Challenges in Scaling RAG with Custom AI models
Infrastructure Challenges in Scaling RAG with Custom AI models
Zilliz
 
Building Production Ready Search Pipelines with Spark and Milvus
Building Production Ready Search Pipelines with Spark and MilvusBuilding Production Ready Search Pipelines with Spark and Milvus
Building Production Ready Search Pipelines with Spark and Milvus
Zilliz
 
みなさんこんにちはこれ何文字まで入るの?40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの?えこ...
みなさんこんにちはこれ何文字まで入るの?40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの?えこ...みなさんこんにちはこれ何文字まで入るの?40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの?えこ...
みなさんこんにちはこれ何文字まで入るの?40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの?えこ...
名前 です男
 
RESUME BUILDER APPLICATION Project for students
RESUME BUILDER APPLICATION Project for studentsRESUME BUILDER APPLICATION Project for students
RESUME BUILDER APPLICATION Project for students
KAMESHS29
 
GraphRAG for Life Science to increase LLM accuracy
GraphRAG for Life Science to increase LLM accuracyGraphRAG for Life Science to increase LLM accuracy
GraphRAG for Life Science to increase LLM accuracy
Tomaz Bratanic
 
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
SOFTTECHHUB
 
Video Streaming: Then, Now, and in the Future
Video Streaming: Then, Now, and in the FutureVideo Streaming: Then, Now, and in the Future
Video Streaming: Then, Now, and in the Future
Alpen-Adria-Universität
 
20240607 QFM018 Elixir Reading List May 2024
20240607 QFM018 Elixir Reading List May 202420240607 QFM018 Elixir Reading List May 2024
20240607 QFM018 Elixir Reading List May 2024
Matthew Sinclair
 
Serial Arm Control in Real Time Presentation
Serial Arm Control in Real Time PresentationSerial Arm Control in Real Time Presentation
Serial Arm Control in Real Time Presentation
tolgahangng
 
Uni Systems Copilot event_05062024_C.Vlachos.pdf
Uni Systems Copilot event_05062024_C.Vlachos.pdfUni Systems Copilot event_05062024_C.Vlachos.pdf
Uni Systems Copilot event_05062024_C.Vlachos.pdf
Uni Systems S.M.S.A.
 

Recently uploaded (20)

Driving Business Innovation: Latest Generative AI Advancements & Success Story
Driving Business Innovation: Latest Generative AI Advancements & Success StoryDriving Business Innovation: Latest Generative AI Advancements & Success Story
Driving Business Innovation: Latest Generative AI Advancements & Success Story
 
UiPath Test Automation using UiPath Test Suite series, part 6
UiPath Test Automation using UiPath Test Suite series, part 6UiPath Test Automation using UiPath Test Suite series, part 6
UiPath Test Automation using UiPath Test Suite series, part 6
 
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdfObservability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf
 
Pushing the limits of ePRTC: 100ns holdover for 100 days
Pushing the limits of ePRTC: 100ns holdover for 100 daysPushing the limits of ePRTC: 100ns holdover for 100 days
Pushing the limits of ePRTC: 100ns holdover for 100 days
 
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAUHCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAU
 
How to Get CNIC Information System with Paksim Ga.pptx
How to Get CNIC Information System with Paksim Ga.pptxHow to Get CNIC Information System with Paksim Ga.pptx
How to Get CNIC Information System with Paksim Ga.pptx
 
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024
GraphSummit Singapore | The Art of the  Possible with Graph - Q2 2024GraphSummit Singapore | The Art of the  Possible with Graph - Q2 2024
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024
 
Removing Uninteresting Bytes in Software Fuzzing
Removing Uninteresting Bytes in Software FuzzingRemoving Uninteresting Bytes in Software Fuzzing
Removing Uninteresting Bytes in Software Fuzzing
 
Mind map of terminologies used in context of Generative AI
Mind map of terminologies used in context of Generative AIMind map of terminologies used in context of Generative AI
Mind map of terminologies used in context of Generative AI
 
How to use Firebase Data Connect For Flutter
How to use Firebase Data Connect For FlutterHow to use Firebase Data Connect For Flutter
How to use Firebase Data Connect For Flutter
 
Infrastructure Challenges in Scaling RAG with Custom AI models
Infrastructure Challenges in Scaling RAG with Custom AI modelsInfrastructure Challenges in Scaling RAG with Custom AI models
Infrastructure Challenges in Scaling RAG with Custom AI models
 
Building Production Ready Search Pipelines with Spark and Milvus
Building Production Ready Search Pipelines with Spark and MilvusBuilding Production Ready Search Pipelines with Spark and Milvus
Building Production Ready Search Pipelines with Spark and Milvus
 
みなさんこんにちはこれ何文字まで入るの?40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの?えこ...
みなさんこんにちはこれ何文字まで入るの?40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの?えこ...みなさんこんにちはこれ何文字まで入るの?40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの?えこ...
みなさんこんにちはこれ何文字まで入るの?40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの?えこ...
 
RESUME BUILDER APPLICATION Project for students
RESUME BUILDER APPLICATION Project for studentsRESUME BUILDER APPLICATION Project for students
RESUME BUILDER APPLICATION Project for students
 
GraphRAG for Life Science to increase LLM accuracy
GraphRAG for Life Science to increase LLM accuracyGraphRAG for Life Science to increase LLM accuracy
GraphRAG for Life Science to increase LLM accuracy
 
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...
 
Video Streaming: Then, Now, and in the Future
Video Streaming: Then, Now, and in the FutureVideo Streaming: Then, Now, and in the Future
Video Streaming: Then, Now, and in the Future
 
20240607 QFM018 Elixir Reading List May 2024
20240607 QFM018 Elixir Reading List May 202420240607 QFM018 Elixir Reading List May 2024
20240607 QFM018 Elixir Reading List May 2024
 
Serial Arm Control in Real Time Presentation
Serial Arm Control in Real Time PresentationSerial Arm Control in Real Time Presentation
Serial Arm Control in Real Time Presentation
 
Uni Systems Copilot event_05062024_C.Vlachos.pdf
Uni Systems Copilot event_05062024_C.Vlachos.pdfUni Systems Copilot event_05062024_C.Vlachos.pdf
Uni Systems Copilot event_05062024_C.Vlachos.pdf
 

Notes 8-2

  • 1. Section 8-2 Limits of Sequences
  • 2. Warm-up Estimate the millionth term of each sequence to the nearest integer, if possible. 1. For all positive integers n, the following sequence: 3n − 2 an = n+1 2. The sequence defined by: ⎧b1 = 400 ⎪ ⎨ ⎪bn = .9bn − 1 , for int n ≥ 2 ⎩