If you need some help with this, book in a free taster session. 1 2 3 4 5 Special sequences There are some special sequences that you should be able to recognise. Put your answers in the comments or email them to and I’ll let you know if you are right. Now we know how to identify the four types, here are 20 sequences (10 each for foundation and higher). So those are the four types of sequence you need to be able to identify for GCSE maths. For a guide on how to find the nth term of a quadratic sequence, read this blog. In the higher tier, you will be expected to be able to identify quadratic sequences and find their nth terms. It’s important to note that quadratic sequences only appear in the higher tier. However the differences of the red terms (in green) are the same. You see that the differences between the terms (in red) are different. This is the only way you can identify them. In quadratic sequences, the differences between the terms are not the same, however the difference of the differences are the same. However, x 3 – 2x 2 is not a quadratic, because although it contains an x 2 term, there is a higher power of x (the x 3). For example, 2x 2 + 3x + 2 is a quadratic because the highest power of x is x 2. Firstly, as you will be aware if you read the blogs on factorising quadratic expressions ( foundation tier and higher tier), quadratics are expressions in which the highest power of x is an x 2 term. This is the most difficult type of sequence you will see in GCSE maths. To read more about the Fibonacci sequence and how it pops up in so many interesting and unexpected places, read our Fibonacci blog.Ĥ. You should know how to identify them, understand how they work and find terms in the sequence. However, in both foundation and higher Fibonacci sequences can come up. There is no requirement to know how to find the nth term of a Fibonacci sequence in GCSE mathematics.
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