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Quadratic and Cubic SequencesDeduce expressions to calculate the nth term of quadratic and cubic sequences. |
This is level 1; Quadratic sequences of the form n2 + c. You can earn a trophy if you get at least 4 questions correct.
InstructionsTry 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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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 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "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!" |
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Featured ActivityTower of Hanoi Move the pieces of the tower from one place to another in the minimum number of moves. This puzzle was invented in 1883 but is still as captivating today as it was all those years ago. |
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Go MathsLearning 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 MapAre 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. | ||
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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.
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.
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.
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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!"