# Sequences and Series

## A self-marking exercise on linear sequences, geometric sequences and series.

##### MatchsticksLevel 1Level 2Level 3Level 4Level 5Level 6Missing TermsDescriptionMore...

This is level 5; Mixed questions about sequences and series. You can earn a trophy if you get at least 7 questions correct.

 What is the next term of the sequence 8, 16, 24, 32, 40...? What is the next term of the sequence 9, 27, 81, 243...? What is the first missing term from the arithmetic sequence 8, _ , _ , 20, 24...? What is the first missing term from the geometric sequence 7, _ , _ , 875...? What is the sum of the first 18 terms of this series 2 + 9 + 16 + 23 + 30...? What is the sum of the first 7 terms of this series 9 + 18 + 36 + 72...? What is the sum of the first 12 terms of this series 3 + 12 + 21 + 30 + 39...? What is the sum of the first 9 terms of this series 6 + 36 + 216 + 1296...? Find k if 2k, k + 15 and k + 23 are consecutive terms of an arithmetic sequence. Find k given that 6, k and 150 are consecutive geometric terms.
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This is Sequences and Series level 5. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 6

## 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

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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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 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon:

"Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated."

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"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

#### ChrisMaths

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

If 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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## Description of Levels

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Level 1 - Find the next term of these linear sequences

Level 2 - Find the nth term of these linear sequences

Level 3 - Find a given term of these linear sequences

Level 4 - Mixed questions about geometric sequences

Level 5 - Mixed questions about sequences and series

Level 6 - Exam type questions

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