Find the missing terms of arithmetic, geometric and Fibonacci-type sequences in this self marking quiz.
Here are some arithmetic sequences (positive numbers only). Can you figure out the missing terms? You will be awarded a trophy if you get at least 9 correct and you do this activity online.
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.
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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.
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Level 1 - Arithmetic sequences (positive numbers only)
Level 2 - Arithmetic sequences (including negative numbers)
Level 3 - Geometric sequences
Level 4 - Fibonacci-type sequences
Level 5 - Miscellaneous sequences
Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.
More on this topic including lesson Starters, visual aids and investigations.
See the National Curriculum page for links to related online activities and resources.
Levels 1 and 2 consist of arithmetic sequences where each term is a fixed amount more than the previous term.
If the first term is a and the fixed amount (common difference) is d then the nth term is:
Level 3 consists of geometric sequences where each term is the the previous term multiplied by a fixed amount.
If the first term is a and the fixed amount (common ratio) is r then the nth term is:
Level 4 introduces sequences similar to the Fibonacci sequence. Each new term can be calculated by adding previous terms (usually the previous two terms). The original Fibonacci sequence is:
Level 5 is a mixture of sequence questions designed to make the most of your problem solving strategies.
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. You can double-click the 'Check' button to make it float at the bottom of your screen.