Sequences - Free Formula Sheet: bit.ly/4eau2KQ Final Exams and Video Playlists: www.video-tutor.net/ Arithmetic Sequences: th-cam.com/video/mxEIFO8vXKY/w-d-xo.html Geometric Sequences: th-cam.com/video/zJEWcysAc44/w-d-xo.html
-Arithmetic sequence is a linear function Tn=a+(n-1)d Tn=a+dn-d -Sum of an arithmetic sequence is a quadratic function C equals zero An²+bn na+(.5n²-.5n)d The functions intercept at T1=S1 na+(.5n²-.5n)d (0)a+(.5(0)²-.5(0))d=S(0)=zero
Bruh im a new IBDP student and was so scared and confused with mai (i did not know a single thing) but now i can keep up with others so thank you deeply from my heart and wish you the best
THANK YOU I was studying and I could not understand Why they put this worked for the life of me. They did the whole explanation of how Sn =a1 +a2 and putting it the other way around but the way the book put it was super confusing thank you so much it's like a light bulb clicked in my head.
He is adding the SAME series but in reverse order. ( see around 4.20( This gives a new series which of course has TWICE the value of Sn ... but because one has added terms in reverse order... each term becomes a constant value - and so becomes easy to evaluate. Then to get Sn.. you divide by 2 An easy way to see this is imagine adding the simple series 1,2,3.... to say 10. ( where d =1, and n =10) If we reverse the series and add it to each original term... we get: 10+1, 9+2, 8+3,.... 1+10. You can easily see that this is now simply adding the constant term of 11 ten times = 110, and to get Sn we divide by 2 = 55. Now its easy to adapt the same idea for other series with other values of difference between terms and number of terms etc as shown.
Thank you so much dear Teacher In our university level our Teacher told us to only learn this formula but not told us how to actually drive this😢😢😢😢😮 formula
If I want to write a sub n in terms of a sub 1 wouldn’t that be a1 + (n-1)d? I’m just trying to understand how you changed all the other terms in terms of the first term but not a sub n
this is why the education system is wrong... and props to organic chemistry teacher for explaining why and how the formula was made that interconnects with the answers
When used like it is here (as an adjective or noun adjunct), it's pronounced arithmEtic, not arIthmetic. The latter is when you're talking about the school subject -_-
Right… It’s just like Geometry. The noun form (i.e. maths subject) is of course pronounced “geOmetry”, but as an adjective in English the accent gets pushed back, e.g. a “geoMEtric” sequence. Likewise you have “aRITHmetic”, the subject or activity (a noun), versus “arithMEtic” the adjective, as in an “arithMEtic sequence”. I know this adds nothing to helping people understand things, and this chemistry tutor does a great job at that. Really, kudos to him! But it will save you from sounding silly when you go to Maths parties. Really, the best thing about Maths is the parties. 😂
Because we r considering the term from backwards, like Suppose the term is 5, 8, 11, 14 So if we consider the sequence in increasing order, is that, we wanna find the *last term* , then it will go on like this 👉 5 + 3 , 8 + 3, 11 + 3 = 8, 11, 14 But if we consider the sequence from backwards , is that, we have to find the *first term* by reversing the order (for understanding) : let's say , the sequence now goes like this 👉 14, 11, 8 , 5 ; but note that the sequence still remains in it's orginal form, i.e., (5, 8, 11, 14) as you can see, the sequence now goes like this 👉 14 - 3, 11 - 3, 8 - 3 I mean, if we reverse the order for understanding (14, 11, 8, 5) but the sequence remains still the same , i.e., (5, 8, 11, 14) and we have to find the first term 👉 ?, 8, 11, 14 , then we gotta subtract the common difference from each term to find the first term, first term 👉 5 I mean, that's why we need to subtract So in conclusion, when u have to find the last term (sequence is in increasing order) we gotta add the common difference & when we have to find the last term (sequence goes in decreasing order), we gotta subtract the common difference from each term.
Sequences - Free Formula Sheet: bit.ly/4eau2KQ
Final Exams and Video Playlists: www.video-tutor.net/
Arithmetic Sequences: th-cam.com/video/mxEIFO8vXKY/w-d-xo.html
Geometric Sequences: th-cam.com/video/zJEWcysAc44/w-d-xo.html
my math teacher did not tell us how to get the formula but instead told us to remember the formula as is. Thank you so much for the explaination
😹
Making your life easier lol😂
Our math teacher didn't even tell us the formula
Mistakes happen, but it’s good to catch them. Beautifully said
Good sir i am from somalia
i am one of your students
you are my first teacher really
long life teacher 🖐️🖐️🖐️🖐️
You have no idea how much I needed this🙏
-Arithmetic sequence is a linear function
Tn=a+(n-1)d
Tn=a+dn-d
-Sum of an arithmetic sequence is a quadratic function
C equals zero
An²+bn
na+(.5n²-.5n)d
The functions intercept at T1=S1
na+(.5n²-.5n)d
(0)a+(.5(0)²-.5(0))d=S(0)=zero
Bruh im a new IBDP student and was so scared and confused with mai (i did not know a single thing) but now i can keep up with others so thank you deeply from my heart and wish you the best
Damn bro I need to study this for my exam and videos like this make it so much easier than how my book explains it
bro i love this guy
Are u gay
thank you so much you are helping me so much i am physics teacher ... i was forgetting math but i have a quick reference that's you thank you again
DUDE I WAS JUST LEARNING THESE THANK YOUUUU !!!
Bruh same
Bruh i just wanted to revisit arithmetic
Same there
Very useful. Thank you for making this video.
Thanks you are first teacher really 👐👐
THANK YOU I was studying and I could not understand Why they put this worked for the life of me. They did the whole explanation of how Sn =a1 +a2 and putting it the other way around but the way the book put it was super confusing thank you so much it's like a light bulb clicked in my head.
Same! Everything was backwards and confusing in the formula book
you just saved my grade bruh
Thank you! It's really beautiful.
You, sir, are a LIFESAVER
Most Needed for all... Headings
just one question, what is the reason that we can add the two equations in 4:50 ?
He is adding the SAME series but in reverse order. ( see around 4.20(
This gives a new series which of course has TWICE the value of Sn ... but because one has added terms in reverse order... each term becomes a constant value - and so becomes easy to evaluate. Then to get Sn.. you divide by 2
An easy way to see this is imagine adding the simple series 1,2,3.... to say 10. ( where d =1, and n =10)
If we reverse the series and add it to each original term... we get:
10+1, 9+2, 8+3,.... 1+10.
You can easily see that this is now simply adding the constant term of 11 ten times = 110, and to get Sn we divide by 2 = 55.
Now its easy to adapt the same idea for other series with other values of difference between terms and number of terms etc as shown.
I love arithmetic progressions I already know this but I still watched it
You are my savior 😭
I like what you are doing here!!!!
Thank you so much dear Teacher In our university level our Teacher told us to only learn this formula but not told us how to actually drive this😢😢😢😢😮 formula
My teacher didnt even teach that, its just in the exam.. and everybody knew how to do it, everyone but me. Like.. *how*
Useful content 👌
I needed this in 1st semester bruh 😂 I passed with a passing grade of 85 😂
Thanks for the explanation
Hey can you do a video on combined arithmetic and geometric progression .thx
Thank you 😊
As soon as you mentioned the average I was like omg...I can derive everything related to this with 2nd grade math lol
Thanks for this video
Ok I’m scared we literally just learnt about this in math methods today and now it’s on my recommendations...
You are amazing 🤩!,,,
شكلي العربية الوحيدة هنا😔😂
If I want to write a sub n in terms of a sub 1 wouldn’t that be a1 + (n-1)d? I’m just trying to understand how you changed all the other terms in terms of the first term but not a sub n
Thank you very much. I understand now
Pronounced arithMEHtic. (Different pronunciation than when you're using it as a noun.)
Thanks a lot sir
Woah it blows my mind
updated 6 hours ago aaaaaa notice me please
Thanks
Pls upload "how to derive formula " for all headings. *Sry bad eng
is it just me or the thumbnail looks like it spells the devils name?
its just you
Why is no one explaining why we add them in reverse order?
Why would you wanna complicate things and write the Sum formula from right to left
this is why the education system is wrong... and props to organic chemistry teacher for explaining why and how the formula was made that interconnects with the answers
Because we want to know where it came from not just mindlessly memorise and apply it which makes math unfun and not understandable
Thank you soooo muchhhhh
Thanks
How the f did it became s6 can somebody explain
Good
Hiiiii!!!!! my idol!!!!
yeah, thanks
Hai
Nice
I ghat you😎
Mhm, indeed.
When used like it is here (as an adjective or noun adjunct), it's pronounced arithmEtic, not arIthmetic. The latter is when you're talking about the school subject -_-
Right… It’s just like Geometry. The noun form (i.e. maths subject) is of course pronounced “geOmetry”, but as an adjective in English the accent gets pushed back, e.g. a “geoMEtric” sequence. Likewise you have “aRITHmetic”, the subject or activity (a noun), versus “arithMEtic” the adjective, as in an “arithMEtic sequence”.
I know this adds nothing to helping people understand things, and this chemistry tutor does a great job at that. Really, kudos to him! But it will save you from sounding silly when you go to Maths parties. Really, the best thing about Maths is the parties. 😂
1st
Why should we minus
Because we r considering the term from backwards, like
Suppose the term is
5, 8, 11, 14
So if we consider the sequence in increasing order, is that, we wanna find the *last term* , then it will go on like this 👉 5 + 3 , 8 + 3, 11 + 3 = 8, 11, 14
But if we consider the sequence from backwards , is that, we have to find the *first term* by reversing the order (for understanding) : let's say , the sequence now goes like this
👉 14, 11, 8 , 5 ; but note that the sequence still remains in it's orginal form, i.e., (5, 8, 11, 14)
as you can see, the sequence now goes like this 👉 14 - 3, 11 - 3, 8 - 3
I mean, if we reverse the order for understanding (14, 11, 8, 5)
but the sequence remains still the same , i.e., (5, 8, 11, 14) and we have to find the first term 👉 ?, 8, 11, 14 , then we gotta subtract the common difference from each term to find the first term, first term 👉 5
I mean, that's why we need to subtract
So in conclusion, when u have to find the last term (sequence is in increasing order) we gotta add the common difference & when we have to find the last term (sequence goes in decreasing order), we gotta subtract the common difference from each term.
I thank you for your videos
updated 6 hours ago aaaaaa notice me please