Find the nth term in a decreasing sequence

How to find a formula for the nth term in a linear sequence, check the formula, and how to find other terms in the sequence; here we find the 10th term.

[@mrkryptex3076]

Thank you. Millions of people all over the world have been made happier for your existence👍

[@MathsWithJay]

Thank you so much!

[@khan99ish]

Very helpful I’m doing this topic in school thanks 😊

[@MathsWithJay]

You're welcome 😊

[@poplil3934]

@@MathsWithJay hello i wanted to ask wat if the its-5 if the valueminused keep increasing or decreasing? like -5 to -6 or -5 to -3

[@hatidaddy1278]

Thank you for making this video it helped me a lot with my school work.

[@MathsWithJay]

You're very welcome!

[@anneliese3276]

Thank you, you literally helped me pass my assessments

[@MathsWithJay]

Happy to help!

[@constancendinelaonepembe8829]

Simple and straight forward. Just what I needed💕

[@MathsWithJay]

Thank you Constance

[@gspotmilo]

Watched this before my end or year examinations, and MY GOOD MAY GOD BLESS YOU. THANK U SO MICH!!! And now i subbed

[@MathsWithJay]

Glad it helped!

[@teaganherbert-davies6417]

thanks for this i couldnt find any other videos for decreasing sequences and ive always struggled on nth term, this really helped :)

[@MathsWithJay]

You're very welcome!

[@dia.walker]

Thank you so much! I have a test tomorrow and I completely forgot so this really helped

[@MathsWithJay]

Good luck!! Great to know that this was useful

[@rohaankhan6491]

quite useful,i have been looking for these types of vid.

[@MathsWithJay]

@Gamerz World: Thanks!

[@bleh.553]

please I love this so much, I have a test soon and I am not prepared at all. This really helped, tysm!! Idk what I would’ve done without this

[@MathsWithJay]

Good luck!!

[@emillillygallagher3457]

THANK YOU SO MUCH YOU HELPED ME WITH MY MATHS HOMEWORK!😊

[@MathsWithJay]

You are so welcome!

[@akshayperla7599]

Thanks a lot! Having a test tommorow about this and having zero knowledge before watching this video. IM READY!

[@MathsWithJay]

Best of luck!

[@akshayperla7599]

@@MathsWithJay hi! The test got a bit tricky when it Said about nsquared stuff

[@MathsWithJay]

Ah - see kzbin.info/www/bejne/poSwqatqrJpnbas for nth term when n is squared

[@akshayperla7599]

@@MathsWithJay omg tysm!

[@EnglishwithYasso-hb2qd]

all the support to your brilliant videos

[@MathsWithJay]

Big thanks

[@maddrury3909]

THANKSSS end of year assessments have me stressing you’ve just taught me and hour lesson in three minutes

[@MathsWithJay]

Glad to have helped...good luck!

[@Ic1clezz]

You just helped me pass my exams, Thank you 🙏

[@MathsWithJay]

Glad to hear that!

[@ariana-wu9td]

You taught me this in 4 minutes and my teacher couldn’t do it in 3 weeks

[@MathsWithJay]

3 weeks?!

[@b34r36]

THANK YOUUUUU this is a LIFE SAVER

[@MathsWithJay]

You're welcome

[@nerezaalmirante3377]

My module brought me here ! 🤧 This really help me so thnks

[@MathsWithJay]

You're very welcome!

[@ashleyc3965]

thank you so so much for this I really needed this for a homework ! just subscribed as well :)

[@MathsWithJay]

Yay! Thank you!

[@funnerfacts_121]

yay thx so much for helpin man maths is hard but great people like u exist 😀

[@MathsWithJay]

You're welcome!

[@sapphiresky1722]

Thank you!!! Excellent explanation 👌

[@MathsWithJay]

Glad it was helpful!

[@zainabjansen7587]

thank you so so much i really appriciate it ✨✨✨

[@MathsWithJay]

No problem 😊

[@noorscooking7920]

Very easy method 👍 amazing

[@MathsWithJay]

Thank you!

[@cabezudo1]

Thankyou very much without your videos I would have done very poorly on my homework thankyou ❤👍

[@MathsWithJay]

You're welcome 😊

[@noneofmybusiness4861]

Ty Maam. I literally need an explanation it helped me

[@MathsWithJay]

Most welcome 😊

[@Nico-kt4bx]

Thankyou so much I have a test tomorrow and I needed to know this and you made it a lot easier. Do you have any tips for remembering all of this so I won’t forget it in the test.

[@MathsWithJay]

It might help to look at an example where the terms are increasing: kzbin.info/www/bejne/jJilhK2Pd7KVnpY Then you can try to make up your own examples to test yourself...you could start with a formula, work out the terms, then see if you can work out the formula. Good luck!

[@kraze4213]

Thanks for helping. My maths teacher isn't even in school so we have to learn by ourselves and I didn't understand this topic at all.

[@MathsWithJay]

You're very welcome!

[@chumilemtingi7272]

Thank you so much. I understand it fully after trying to figure this out for a full year

[@MathsWithJay]

@Chumile Mtingi: A FULL year! Wow!

[@BriexM]

But how about numbers that are decreasing by dividing 2 each num, for example: 2000,1000,500,250 and so on. How to write the algebraic expression for sequence like this?

[@MathsWithJay]

That's a geometric sequence

[@imsohotrawr4362]

How about 4, 8, 16, 32 instead of adding them they've been multiplied by 2

[@MathsWithJay]

This is not a linear sequence like the one in the video...your sequence will need an index (or power)

[@ashbiju3886]

thank so much for the explanation it helped😊

[@MathsWithJay]

You're welcome 😊

[@rowenagarcia9029]

thanks for this i can do my math now

[@MathsWithJay]

Glad I could help!

[@Psycholog10]

Tysm!!!! It really helped me out!! :) I was struggling to understand this topic, and I have an exam in 3 days. I can't thank you enough. You've got yourself a new sub. =D

[@MathsWithJay]

Fantastic! Welcome!

[@Xxosinghxx]

thank you i got the same question in my exam and i rocked it.... thanks

[@MathsWithJay]

Great 👍

[@isaacbuller7186]

This was really helpful, thank you!

[@MathsWithJay]

You're so welcome!

[@jannethaguirre1913]

What is a way to rewrite the formula into a more general one?

[@MathsWithJay]

@janneth aguirre: This is an arithmetic sequence, with first term a, difference d, so the nth term is a + (n - 1)d,

[@deletioninducedin7days919]

@@MathsWithJay is d the common difference?

[@MathsWithJay]

@Dominic Castillo: Yes!

[@aastavchoudhary]

Thank you mam!!! ❤❤ Keep it up!

[@MathsWithJay]

Most welcome 😊

[@aastavchoudhary]

@@MathsWithJay 🥰

[@andrewisok6293]

This so useful, you deserve a like

[@MathsWithJay]

@LilAndy TV: Thank you!

[@evaxx9037]

your videos are really helpful ❤❤

[@MathsWithJay]

Thank you!

[@mohammedmusa1017]

thx for the help was doing some correcting from a home test, thx for the clear explanation !

[@MathsWithJay]

Glad it helped!

[@mohammedmusa1017]

@@MathsWithJay You're underrated btw maybe i will tell my freinds to sub

[@LucasSar_07]

Cheers helped me with my homework

[@MathsWithJay]

Excellent!

[@nehoaiiii]

Wait so its just like positive numbers?

[@MathsWithJay]

@nene n: It's like an increasing sequence as in: kzbin.info/www/bejne/jJilhK2Pd7KVnpY

[@abdulahadam3284]

Very helpful, thanks you so much

[@MathsWithJay]

You're welcome!

[@zawadiable4852]

oh what if we use nth term= a+(n-1)d

[@MathsWithJay]

Yes....that will work....a is the first term and d the common difference

[@xilipz_urdu_rapper]

Today is my exam and I am revising it now thankyou🎉

[@MathsWithJay]

Good luck!

[@johnlyn1347]

Thank u so much! You help me with my assignment! ❤️

[@MathsWithJay]

You’re welcome 😊

[@kadaver1n]

This is actually the recursive method. If you want to do it the other way try using this formula: a₁ + (n - 1)d With a₁ being the first term, n being the nth place in the sequence, and d as the difference.

[@MathsWithJay]

Or just a for the first term

[@kadaver1n]

@@MathsWithJay yup

[@godislove1043]

Thank you so much !

[@MathsWithJay]

Welcome!

[@yocuz2536]

What about non linear decreasing sequences

[@MathsWithJay]

@Dontay: kzbin.info/www/bejne/a5qvcnqZr5mJnM0 is a decreasing quadratic sequence

[@mohamedmehrazjaleel2117]

thank you . Very efficient

[@MathsWithJay]

@Mohamed Mehraz Jaleel: Thank you!

[@shedraws9165]

Definitely a good help 👍 thank you

[@MathsWithJay]

No problem 👍

[@lawmithangluah1991]

how did the -3 come from i think its between 301-298

[@MathsWithJay]

@lawmi thangluah1: 298 - 301 and 295 - 298,...

[@irtmm9370]

Im watching this during the exam ty

[@MathsWithJay]

During?

[@shahe3rmalik]

How to find the nth term of 9 2 2 -2 its confusing as it jumps from -4 to -3 and again -4. How do we write this in n terms

[@MathsWithJay]

That is a baffling problem!

[@sourdumplings19]

amazing video !

[@MathsWithJay]

Glad you liked it!

[@elmaranulo1637]

Thank you now I can answer my retake exam :-:

[@MathsWithJay]

Great!

[@chickenpotato5759]

finally i have found the perfect video, very clearly explained and will definitely be subscribing as this has helped me a lot, thank you for the great video!

[@MathsWithJay]

Welcome aboard!

[@Aisha-gd6dq]

Why do we add three?

[@MathsWithJay]

At what time in the video?

[@JosephEarlRZafra]

uhmm can i suggest a video where its decreasing but theres no common difference if thats alright sir thx for vid

[@MathsWithJay]

Can you give an example?

[@OO-wn8ni]

Why do you minus 6 when your checking

[@MathsWithJay]

Because we're checking n=2, so 3n=6

[@jasbirks]

what should i do if the numbers are, 123,113,93,83?

[@MathsWithJay]

So no 103?

[@jasbirks]

@@MathsWithJay no

[@rowenarosepajaberacadavona1734]

what if the number sequence is a fraction?

[@MathsWithJay]

This method works for fractions too if the differences are all the same

[@hmmmm9677]

My mind is sleeping right now but where did you get the x again i can't understand BTW thanks😍😍

[@MathsWithJay]

At what time in the video?...kzbin.info/www/bejne/jJilhK2Pd7KVnpY may be useful

[@hmmmm9677]

@@MathsWithJay thnx bro

[@bugb4653]

Thankyou! Thankyou! I need this🥰🥰🥰🥰

[@MathsWithJay]

You’re welcome 😊

[@jagtarsarkaria6562]

Thank you this was so useful

[@MathsWithJay]

Glad it was helpful!

[@abidfahim2plays14]

TY FOR IT I NEEDED THIS!!

[@MathsWithJay]

You're welcome....glad it helped!

[@reusslunar]

What if it goes to the negatives? Like 15, 7, -1, -9...

[@MathsWithJay]

The same rule applies...what do you get for your formula?

[@veromgyu4123]

@@MathsWithJay t = 23 - 8n!

[@charliehanson7660]

ok but what about when the sequence isnt linear?

[@MathsWithJay]

kzbin.info/www/bejne/poSwqatqrJpnbas has a non linear example

[@user-mu4ll1nb3n]

Thanks a bunch😅

[@MathsWithJay]

Welcome!

[@maskedmamba188]

thank youuu!!!!

[@MathsWithJay]

You're welcome!!

[@MuhammedAli-rw7mb]

Thank a lot!

[@MathsWithJay]

You're welcome!

[@PK.EditzCC]

Thank you so much

[@MathsWithJay]

Welcome 😊

[@Besoss.annaah]

i got it right👏🏾👏🏾

[@MathsWithJay]

Excellent!

[@yolandafanggidae9836]

veryyy underated thank youuu

[@MathsWithJay]

Good to know that you found this useful

[@sadysssss]

how did u get the check n=2?

[@MathsWithJay]

By substituting 2 for n

[@Nubayan12342]

How about this one 80,40,20,10?

[@MathsWithJay]

See kzbin.info/www/bejne/nZiyZpSBpNSjetk

[@Nubayan12342]

@@MathsWithJay thank u very much

[@qwertyisnotpassword5110]

Tahnk u so much

[@MathsWithJay]

Most welcome 😊

[@fanniecabangon1670]

how do you got the 2

[@MathsWithJay]

At what time in the video?

[@kyejoewong847]

thank you so much

[@MathsWithJay]

No problem 😊

[@arhammehta251]

Would 304 - 3n also be a formula?

[@MathsWithJay]

Try it: what do you get when you substitute n=1, 2,...?

[@arhammehta251]

@@MathsWithJay It worked for me. Thanks a lot!!!

[@danyalakhtar5633]

Thx

[@MathsWithJay]

Any time

[@youngstone8213]

What if it’s like -12, -9, -6, -3, 0?

[@MathsWithJay]

How do you think the formula will start?

[@youngstone8213]

Maths with Jay I actually figured it out thanks for the video

[@leenm04]

what if it goes 9 16 25 36 49 ?

[@MathsWithJay]

See kzbin.info/www/bejne/poSwqatqrJpnbas

[@AsifRaihan]

thanksss

[@MathsWithJay]

Thank you

[@blahblah5303]

cant it be -3n +304

[@MathsWithJay]

Yes, but we prefer to avoid starting an expression with a negative

[@PythonMFD]

Thank you so much!!! This is just what I needed. ❤👍

[@MathsWithJay]

Glad it was helpful!

[@Jayden-e1v]

What if its ‐6 ‐9 ‐12 ‐15 ‐18 so your telling me the answer will be ‐3n‐3

[@MathsWithJay]

Why not check by substituting in n=1,2,3,...For example, your formula gives the 4th term as -3x4 - 3 = -12 - 3 = -15

[@Jayden-e1v]

Still dont understand really if I'm being honest

[@MathsWithJay]

Then try another example...kzbin.info/www/bejne/jJilhK2Pd7KVnpY

[@jaimieg51]

THANK YOUUUU

[@MathsWithJay]

You're welcome

[@edwardbrewis9040]

thank you

[@MathsWithJay]

You're welcome

[@pink9257]

50/50 for me but I’m just gonna plug it in and hope it makes sense lol

[@MathsWithJay]

Another example might help: kzbin.info/www/bejne/jJilhK2Pd7KVnpY

[@swift380]

Hello!

[@MathsWithJay]

Hi!

[@lettilibra56]

useful - thanks

[@MathsWithJay]

@letti Thank you!

[@Metha_59]

Thank you so much this helped a lot

[@MathsWithJay]

You're welcome!

[@diyema3434]

I was filpen mind blown

[@MathsWithJay]

:)

[@xushiny3343]

Woah! this seems so easy for me now :) thanks

[@xushiny3343]

its really hard for me before i watched this vid and now I was like "how would I think that way??!!" lol

[@MathsWithJay]

@Xu Shiny: You're welcome 😊

[@xushiny3343]

@@MathsWithJay it's not common to see a youtube that likes every comments :) Your vids are so awesome! :)

[@MathsWithJay]

...some comments are deleted and some people are blocked if their comments are not appropriate...

[@xushiny3343]

@@MathsWithJay True

[@mahek4818]

this is perfect! thank you !

[@MathsWithJay]

You're welcome!!

[@freddieleashorne5027]

I’m in yr8 and because of covid I missed it thanks

[@MathsWithJay]

You're welcome!

[@kareem_f1509]

Saviour

[@MathsWithJay]

ty

[@nouhmohamed6261]

I FEEL LIKE EINSTEIN NOW

[@MathsWithJay]

Wow!

[@nssingh1030]

Number started from 900, 897, 891, 882... Pliz help me find the n th term when it reach 0, i have search all KZbin channel but no one teaches such a sequence

[@MathsWithJay]

@sushil nongmaithem: See kzbin.info/www/bejne/poSwqatqrJpnbas

[@nssingh1030]

@@MathsWithJay is there vdeo on decreasing order? (The link is for increasing order)

[@MathsWithJay]

That isn't important...a decreasing order sequence will give a negative number instead of a positive one