# 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 4; Mixed questions about geometric sequences. You can earn a trophy if you get at least 7 questions correct.

 What is the common ratio of the sequence 9, 54, 324, 1944...? What is the next term of the sequence 11, 44, 176, 704...? What is the next term of the sequence 6, 12, 24, 48...? What is the next term of the sequence 5, 15, 45, 135...? What is term number 6 of the sequence 7, 42, 252, 1512...? What is term number 7 of the sequence 9, 45, 225, 1125...? What is term number 8 of the sequence 10, 20, 40, 80...? What is term number 9 of the sequence 16, 80, 400, 2000...? What is the 15th term divided by the 14th term of the sequence 11, 22, 44, 88...? What is the difference between the 10th and 12th terms of the sequence 3, 6, 12, 24...?
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This is Sequences and Series level 4. You can also try:
Level 1 Level 2 Level 3 Level 5 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 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

#### Tran Towers

A mathematical adventure game in the enigmatic home of Transum. Create your own map as you go deeper and deeper into this maze of rooms looking for the clues to find the treasure room.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

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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:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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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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