### Describe the number of chairs needed with a formula.

This exercise will help you interpret mathematical relationships both algebraically and geometrically.

##### Level 1Level 2Exam-StyleDescriptionHelpMore Sequences

This is level 2; Linear sequences of chairs and tables.

 Number of Tables: Number of Chairs: 1 2 3 4 ... n ... 129 ... ...
 Number of Tables: Number of Chairs: 1 2 3 4 ... n ... 96 ... ...
 Number of Tables: Number of Chairs: 1 2 3 4 ... n ... 145 ... ...
 Number of Tables: Number of Chairs: 1 2 3 4 ... n ... 108 ... ...
 Number of Tables: Number of Chairs: 1 2 3 4 ... n ... 101 ... ...
Check

This is Seating Arrangements level 2. You can also try:
Level 1

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## Transum.org

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Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

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## Description of Levels

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Level 1 - Linear sequences of matchstick patterns

Level 2 - Linear sequences of chairs and tables

When you have done those why not progress to:

Sequences Level 2 - Find the nth term of linear sequences

Sequences Level 3 - Find a given term of linear sequences

Sequences Level 4 - Mixed questions about geometric sequences

Sequences Level 5 - Mixed questions about sequences and series

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Example

Filling in the first three cells of the table is simply a case of counting the number of matches needed to make the first three patterns.

You may have noticed by now how many additional matches it takes to make the next pattern in the sequence. It's the same each time you change one pattern to the next. In this case it is 5.

The numbers in the table go up by 5 each time just like the five times table. The general term of the five times table is 5n where n are the counting numbers (1, 2, 3, 4...).

The first four terms of the five times table are 5, 10, 15 and 20.

The numbers in our table are each one more than that so the nth term is 5n+1. This formula can be used to work out the 92nd term of the sequence i.e. 5x92+1 = 461

###### Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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