GCSE Maths - How to Write Expressions for the nth term of Arithmetic Sequences #55

This video covers how to write an expression to represent a sequence of numbers e.g. 5, 9, 13, 17, 21... could be expressed as 4n + 1
This video is suitable for maths courses around the world.
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[@Cognitoedu]

If you’d like to practise the material covered in this video, check out our platform at www.cognitoedu.org - it's totally free, and has been built to make learning and revision as easy as possible. The main features are:
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Amadeus & Tom

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@@Cognitoedu can you also make a video on complicated sequences.. like in which the common difference isnt the same for all the terms... I hv prblm finding the nth term of that.. if u can, that would be helpful!!!

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I have a question for finding the expression,could finding the number before the first term also be negative

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[@tejaschanchal763]

Wow I knew a method to find out nth term for arithmetic sequences, but it involved making a table of values with the sequence and the nearest n term. For example if I had 5, 9, 13, 17 I would try 4n which is 4,8,12,16, and then I would know that it is 4n+1. However my method sometimes had me getting stuck, but this method is infinitely easier and faster!!! Thank you for showing us this method, loving your videos on math, physics and chem. Good luck with future videos!!

[@Cognitoedu]

Thanks Tejas, glad to hear our videos could help! 😊

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does this work with all sequences?

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[@archish405]

Another way to solve this is using the formula a(n-1)d , where a= first term, n= nth term and d= common difference. But it will only work for arithmetic sequences.

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thx a lot for the help

[@silenceplzyeah2019]

What about if the difference is through division and multiplication??

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[@myra197]

How about number sequences that has a geometrical pattern ( ×/÷ ) ?? How do you figure out what to put before 'n' in the nth term expression?

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What about doing it with fractions and decimals?

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can we pls get the nth term of quadratic sequences video ;)

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what if the sequences are non-linear? what should i do here?

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what should be do when dividing a term?

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can you do a video on finding nth term form quadratic sequences

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Thank you Holley! Best of luck 🤞

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how did they go holley?

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please make a video on quadratic sequences

[@billycooper21]

cảm ơn anh đã dậy em cách để làm nth term, ngày mai, em sẽ nhảy từ lầu 3 lên lầu 2 🙏🙏🙏🙏🙏🙏

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Can you please explain how to do it in fraction form

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