The role of spreadsheets in an investigation of Fibonacci Numbers
We introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising relationship between the values of Z(k) and the Fibonac...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
McMaster University
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| Series: | Spreadsheets in Education |
| Online Access: | http://sie.scholasticahq.com/article/4618-the-role-of-spreadsheets-in-an-investigation-of-fibonacci-numbers.pdf |
| _version_ | 1797967793443831808 |
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| author | John E Baker Steve Sugden |
| author_facet | John E Baker Steve Sugden |
| author_sort | John E Baker |
| collection | DOAJ |
| description | We introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising relationship between the values of Z(k) and the Fibonacci numbers from which they were derived. The article shows the way in which standard spreadsheet functionalities makes it possible to reveal quite striking patterns in data. |
| first_indexed | 2024-04-11T02:36:46Z |
| format | Article |
| id | doaj.art-72da1acf51744b4d872af26181db7355 |
| institution | Directory Open Access Journal |
| issn | 1448-6156 |
| language | English |
| last_indexed | 2024-04-11T02:36:46Z |
| publisher | McMaster University |
| record_format | Article |
| series | Spreadsheets in Education |
| spelling | doaj.art-72da1acf51744b4d872af26181db73552023-01-02T19:51:57ZengMcMaster UniversitySpreadsheets in Education1448-6156The role of spreadsheets in an investigation of Fibonacci NumbersJohn E BakerSteve SugdenWe introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising relationship between the values of Z(k) and the Fibonacci numbers from which they were derived. The article shows the way in which standard spreadsheet functionalities makes it possible to reveal quite striking patterns in data.http://sie.scholasticahq.com/article/4618-the-role-of-spreadsheets-in-an-investigation-of-fibonacci-numbers.pdf |
| spellingShingle | John E Baker Steve Sugden The role of spreadsheets in an investigation of Fibonacci Numbers Spreadsheets in Education |
| title | The role of spreadsheets in an investigation of Fibonacci Numbers |
| title_full | The role of spreadsheets in an investigation of Fibonacci Numbers |
| title_fullStr | The role of spreadsheets in an investigation of Fibonacci Numbers |
| title_full_unstemmed | The role of spreadsheets in an investigation of Fibonacci Numbers |
| title_short | The role of spreadsheets in an investigation of Fibonacci Numbers |
| title_sort | role of spreadsheets in an investigation of fibonacci numbers |
| url | http://sie.scholasticahq.com/article/4618-the-role-of-spreadsheets-in-an-investigation-of-fibonacci-numbers.pdf |
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