Describe the number of chairs needed with a formula.This exercise will help you interpret mathematical relationships both algebraically and geometrically. 
This is level 2; Linear sequences of chairs and tables. You can earn a trophy if you get at least 27 questions correct.
This is Seating Arrangements level 2. You can also try:
Level 1
InstructionsTry 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. 



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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School: "What a brilliant website. We have just started to use the 'starteroftheday' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources online we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun." Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." 


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Go MathsLearning 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 MapAre 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. TeachersIf you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows: 

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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
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 n^{th} term is 5n+1. This formula can be used to work out the 92^{nd} term of the sequence i.e. 5x92+1 = 461
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