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: - Lessons organised by topic, only the lessons relevant to your specific exam board and tier are shown. - Automatic progress tracking. Progress bars tell you what you’re doing well at, and what you need to spend some time on. - Practise quizzes so you can test your knowledge. You can quiz yourself on any combination of topics you like. - A huge number of fully-hinted questions that take you step-by-step through some of the trickiest calculations & concepts. - A comprehensive bank of past exam papers, organised both by year, and also by topic. Amadeus & Tom

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[@Cognitoedu]

Ah thankyou Yusra, glad the channel is helping!

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[@Abyss777]

@@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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[@Cognitoedu]

Thanks misterbaleize glad it was helpful!

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[@Cognitoedu]

Ah thank you so much Dania, really glad we could help 👍

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[@anhnguyenphuong9790]

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

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just me who found nth term questions IMPOSSIBLE before this video, this has helped so so much!

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This is my 1st math's video, I usually see this channels science videos more.

[@wilcifyplayz4103]

Thank you so much!!, This is so helpful

[@bearah4386]

this is great thank you soo much this will rlly help me!!

[@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?

[@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.

[@rajaharoon3377]

I love you i have an exam tomorrow and this helped alot

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[@Cognitoedu]

Haha we're glad you found us! 🙌

[@silenceplzyeah2019]

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

[@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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[@siphesihlemakhanya5704]

You explain it better than my math teacher 💕thank you

[@Cognitoedu]

You're welcome 😊

[@user-mn1qc3gd5t]

does this work with all sequences?

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[@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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POV: u realised that u learnt this in 4th grade

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You learnt this in 4th grade? What year is that in the uk I swear I never learnt this until year 10

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

[@jurikanecatagbo8344]

Thank you for this video

[@RR-bq7tm]

what should be do when dividing a term?

[@3ly415]

What about doing it with fractions and decimals?

[@CAT_FB_1]

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

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

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Can i also use ur vids for IGCSE?

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i woyld like to thank this channel for saving me in eighth grade from failing

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3:25 how did u get 1???

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I needed this for my test

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This video explains better than my teacher

[@rachnashah2408]

Can you please explain how to do it in fraction form

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please make a video on quadratic sequences

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the day before paper 3 maths gcse I finally understand this ahha

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thanks so much. i understand now!

[@Cognitoedu]

That's great Isabel!

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Thank you for your videos. I'm a mother of 4 young children, two with special needs and trying my hardest to pass these exams alongside everything else, all so I can get into med school to become a doctor. You explain things in a way that's generally worth so much credit. Number one fan here! Exams in June for maths-english-biology, if I get my A's I will owe you a lot of credit!

[@Cognitoedu]

Thank you Holley! Best of luck 🤞

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how did they go holley?

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These videos really help me when I forget some maths problems like nth and ect. And it helps to recap some maths

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Thanks mate

[@shaquanbranche6541]

Thank you alot sir

[@johannagadhikari3340]

You can also with the sequence, do this: 1.Find the difference 2.Below that, write the times table of the difference 3.Find out how from the times table you get to the sequence

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Is this for GCSE's? (Because my school teaches me this in yr8?)

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Thanks so much

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like..how do you find the nth term when its not an arithmetic sequence

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I have been struggling to understand this topic for 3 hrs but after watching the vid i finally understood it tysm

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THANKKK YOU 🥺

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I have been trying to understand this for months and it took you 6 minutes to make me get it. THANK YOU.

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[@kaylaosei8399]

Could you explain how do find the nth term when the sequence is not linear please?