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What you need to know
What you need to know:
Quadratic sequences are sequences whose position-to term rule, or nth term formula, is a quadratic expression. In the higher course, you are expected to know how to obtain the nth term formula for quadratic sequences as well as linear ones. For example, you might be given the sequence 2, 7, 14, 23, 34, … and be told to determine the nth term formula, which you would find to be u_n = x^2 + 2x - 1. This is a two-step process. The first step is determining the first term in the formula, i.e. finding the coefficient of the x^2 term. Once you know this, you begin the second step of finding the next two terms in the formula. To do this, you form a new sequence calculated from only your first term to see explicitly what’s missing, so you can work out how to compensate for it.
This method can seem complicated, but it is precisely that: a method. Once you get the hang of it, it’s a matter of repeating the same steps with slightly different numbers involved. There aren’t so many ways they can surprise you with a question on this topic.
The quadratic sequence revision sheets and online test can be used by both students and teachers. You may be a GCSE Maths tutor in Leeds, or you may be a Maths teacher in London, either way these quadratic sequence questions and worksheets could be a great addition to your ever expanding wealth of GCSE Maths resources which may need bulking out a little with the new GCSE maths question types.
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