Transum Software

Missing Terms

Find the missing terms of arithmetic, geometric and Fibonacci-type sequences in this self marking quiz.

Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Description Help More Sequences

Here are some fibonacci-type sequences. 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.

1,  1,  2,  3,  5,  8,  
Correct Wrong

21,  34,  55,  89,  144,  
Correct Wrong

2,  2,  4,  6,  10,  
Correct Wrong

3,  3,  6,  __  ,  
Correct Wrong

5,  7,  12,  __  ,  
Correct Wrong

5,  6,  __  ,  17,  
Correct Wrong

10,  12,  __  ,  __  ,  
Correct Wrong

1,  __  ,  __  ,  11,  
Correct Wrong

2,  __  ,  __  ,  __  ,  16,  
Correct Wrong

,  __  ,  16,  __  ,  41
Correct Wrong

__  ,  ,  __  ,  16,  26
Correct Wrong

1,  1,  1,  3,  5,  9,  
Correct Wrong

Check

This is Missing Terms level 4. You can also try:
Level 1 Level 2 Level 3 Level 5
Fibonacci Quest

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.

Please contact me if you have any suggestions or questions.

Email address

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 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK:

"I am an NQT and have only just discovered this website. I nearly wet my pants with joy.
To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Featured Activity

Pentransum

Pentransum

Answer multiple choice questions about basic mathematical ideas. If you get a number of questions correct you will be invited to post a question of your own. The bank of questions grows larger every day.

Answers

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.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

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:

Transum,

Tuesday, October 28, 2014

"This is an excellent activity to make pupils think about the structure of a sequence rather than just learning a set of rules. It has worked very successfully for eleven year olds as well as sixteen year olds and is also an activity that can be done by pupils working in pairs. When pupils work with others the conversation about the methods they are using is very revealing."

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.

Apple

©1997-2017 WWW.TRANSUM.ORG

© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=114

Description of Levels

Close

Close

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.

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.

Log in Sign up

Curriculum Reference

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

Sequences

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:

a + (n−1)d

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:

a × rn−1

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:

1, 1, 2, 3, 5, 8, 13, 21, 34...

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.

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.

Log in Sign up

Close

Close