Transum Software

Quadratic and Cubic Sequences

Deduce expressions to calculate the nth term of quadratic and cubic sequences.

  Menu   Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Help More

This is level 5; Cubic sequences of the form an3 + bn2 + cn + d. You can earn a trophy if you get at least 2 questions correct.

Find the nth term of the sequence:
1, 13, 39, 85, 157, 261, ...

Working:

Correct Wrong
Find the nth term of the sequence:
6, 28, 76, 162, 298, 496, ...

Working:

Correct Wrong
Find the nth term of the sequence:
11, 47, 125, 263, 479, 791, ...

Working:

Correct Wrong
Check

This is Quadratic and Cubic Sequences level 5. You can also try:
Level 1 Level 2 Level 3 Level 4

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.

Why am I learning this?

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 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School:

"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales:

"Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!"

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

Nine Digits

Nine Digits

Arrange the given digits one to nine to make three numbers such that two of them add up to the third. This is a great puzzle for practicing standard pen and paper methods of three digit number addition and subtraction.

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:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Transum,

Thursday, January 20, 2022

"Have you seen the Leapfrog investigation? It's a challenge to find the minimum number of moves to swap the positions of the blue and green frogs by encouraging them to leap from one lily pad to another. The investigation will reveal a quadratic sequence but can you find the rule for the nth term? The investigation has been cunningly named Leapfrog. Have a look!"

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.

Transum.org is a proud supporter of the kidSAFE Seal Program

© Transum Mathematics 1997-2024
Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=589

Description of Levels

Close

Close

Level 1 - Quadratic sequences of the form n2 + c

Level 2 - Quadratic sequences of the form an2 + c

Level 3 - Quadratic sequences of the form an2 + bn + c

Level 4 - Quadratic sequence problem solving

Level 5 - Cubic sequences of the form an3 + bn2 + cn + d

Exam Style questions are in the style of GCSE exam paper questions and worked solutions are available for Transum subscribers.

Handshakes - Try this lesson Starter which can generate a quadratic number sequence.

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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

Quadratic Sequence

This video explains how to find the nth term of a quadratic sequence and is from Mr Hegarty.

A shorter, concise method is shown here.

Quadratic Sequences Aide Memoire

Cubic Sequence

Cubic Sequences Aide Memoire

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