![]() ![]() This tells you that your final result will contain the term 3n 2. Take that 6 and divide it by 2 (it’s easy to forget to divide by 2!), to get 3. Then find the gaps between the gaps – these are 6 and 6. Simplest Example ( an 2):įind the nth term for the following quadratic sequence: 3, 12, 27, 48, …įirst calculate the gaps between the numbers – these are 9, 15 and 21. You’re aiming for a result of an 2 + bn + c, but easier examples might have a solution of an 2 + b, and even easier ones will just be an 2. So I’m placing my notes here in case they’re any use to anyone else. I couldn’t find decent complex examples on either of my favourite GCSE maths revision sites ( Maths Genie and BBC Bitesize), and when you’re doing the more complex examples, a step-by-step guide is really useful. I’m an ex high school maths teacher, but I had forgotten how to do this. I’m currently helping my 15-yr-old son revise for his maths GCSE, and one topic is “finding the nth term of a quadratic sequence”. ![]()
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