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Year 11 Sequence and series for the TI-83/84 Page 1 of 14 CAMBRIDGE TECHNOLOGY IN MATHS Year 11 Sequence and series for the TI-83/84 CONTENTS How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic sequence 3 using the TI-83/84 Example: Application of an arithmetic sequence 4 Example: Finding the number of terms in an arithmetic series and its sum 6 How to use recursion to generate a geometric sequence using the TI-83/84 8 How to generate a position counter beside the terms of a geometric sequence 9 using the TI-83/84 Example: Application of a geometric sequence 10 How to use difference equations to generate recursive sequences using 12 the TI-83/84 Questions on generating recursive sequences using the TI-83/84 Answers 14 Published in: Essential Standard General Mathematics © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005 See www.technologyinmaths.com.au for conditions of use Cambridge University Press
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Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

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Page 1: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 1 of 14

CAMBRIDGE TECHNOLOGY IN MATHS

Year 11

Sequence and series for the TI-83/84

CONTENTS How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic sequence 3 using the TI-83/84 Example: Application of an arithmetic sequence 4 Example: Finding the number of terms in an arithmetic series and its sum 6 How to use recursion to generate a geometric sequence using the TI-83/84 8 How to generate a position counter beside the terms of a geometric sequence 9 using the TI-83/84 Example: Application of a geometric sequence 10 How to use difference equations to generate recursive sequences using 12 the TI-83/84 Questions on generating recursive sequences using the TI-83/84 Answers 14

Published in: Essential Standard General Mathematics © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 2: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 2 of 14

How to use recursion to generate an arithmetic sequence using the TI-83/84

Original location: Chapter 8 (p.304-305) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 3: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 3 of 14

How to generate a position counter beside the terms of an arithmetic sequence using the TI-83/84

Original location: Chapter 8 (p.305) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 4: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 4 of 14

Example: Application of an arithmetic sequence

Original location: Chapter 8 Example 6 (p.308) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 5: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 5 of 14

Original location: Chapter 8 Example 6 (p.308) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 6: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 6 of 14

Example: Application of an arithmetic sequence

Original location: Chapter 8 Example 9 (p.314) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 7: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 7 of 14

Original location: Chapter 8 Example 9 (p.314) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 8: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 8 of 14

How to use recursion to generate a geometric sequence using the TI-83/84

Original location: Chapter 8 (p.321) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 9: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 9 of 14

How to generate a position counter beside the terms of a geometric sequence using the TI-83/84

Original location: Chapter 8 (p.321-322) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 10: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 10 of 14

Example: Application of a geometric sequence

Original location: Answers (p.501) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 11: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 11 of 14

Original location: Answers (p.501) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 12: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 12 of 14

How to use difference equations to generate recursive sequences using the TI-83/84

Original location: Answers (p.501) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 13: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 13 of 14

Questions on generating recursive sequences using the TI-83/84

Original location: Answers (p.501) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press

Page 14: Sequence and series for the TI-83/84 · How to use recursion to generate an arithmetic sequence using the TI-83/84 2 How to generate a position counter beside the terms of an arithmetic

Year 11 Sequence and series for the TI-83/84 Page 14 of 14

Answers

Recursive sequence questions

Original location: Answers (p.501) © Peter Jones, Kay Lipson, David Main, Barbara Tulloch 2005

See www.technologyinmaths.com.au for conditions of use

Cambridge University Press