Lol for years... throughout my entire University life, I'm even in my Masters degree now...and whenever I falter on my math, I always think "consult Sal"...bcz he never disappoints. Thank you Sir...thank you for the As
I keenly watch your videos.It is very nice of you that you have uploaded the video on derivation of sum formula of AP.More than a million students appearing for their class 10 exams this march 2013 in india will remain greatful to you.Thanks
Hello!!could any body explain the solution... If avijith saves rs.400 more each year than he did the year before and if he saves rs.2000 in the 1st year ,after how many years will his savings be more than rs.100000 altogether?
at 6:20 you said that it makes intuitive sense because you're increasing by the same amount every time, i dont see how thats intuitive but would really like to know. can someone PLEASE elaborate on how it is intuitive? thanks in advance!
+Zohirul Islam Jewel Repetition does not help learning. It helps retention. One needs context and analogy for learning. Salman Khan is unfortunately rather weak in this area based on the tutorials.
+Zohirul Islam Jewel Retention has no value if one doesn't comprehend the instruction. This is where context and analogy come in. Because he's bad at tying his lessons into more basic knowledge that a student is likely to possess, comprehension suffers. This is where a lot of teachers fail miserably with their students.
+David Metcalfe You can learn context and analogy when you learn jobs where they use the math in, or you can just ask the math teacher at school where the would use the math they're learning in class, that's what I do. Sometimes the teacher will tell you that with out you even asking.
The value of n, plainly put is the no of figures given. Like from 2-11, the value of n is 10. If every figure is given, you can either count all of them, and that would be its value. OR You could divide the last term by the difference between any two terms (d), and the quotient you get is the value of n - 1. For example, let's take 1,3,5,7,9. The last term is 9 and the difference between each term is 2. Thus 9/2 is 4 with remainder 1. Add 1 to the quotient and you get the value of n. And in addition to that you also get your first element i.e. In this case 1, so you can cross check your answer.
+Aayush Kucheria You are partially correct. The second method won't work if the series involves numbers lesser than 0 So taking the same example: if the series was -1,1,3,5,7,9..The number of terms is no longer 5
Because there are n terms in the sequence. So if we are adding up some term again and again, n times... it's the same as multiplying that 'some term' by n. It's kinda complicated to absorb at first but once you get it, you'll know exactly why with no problem
Bcz a,a+d,a+2d,a+3d+,...,+a+nd this is arithmetic series and for nth term if the formula would be tn=a+nd and u will gonna solve it let's say for n=2 a/c to the above formula t2=a+2d but in actual the 2nd term is a+d that's why we use tn=a+(n-1)d a/c to this t2 would exactly be a+d.
Lol for years... throughout my entire University life, I'm even in my Masters degree now...and whenever I falter on my math, I always think "consult Sal"...bcz he never disappoints. Thank you Sir...thank you for the As
"Color changing is sometimes difficult." -Salman Khan
But arithmetic series' aren't. He's a cool guy.
laughs in Michael Jackson.
Khan Academy is literally a life saviour
im having a mental breakdown because of mid terms
twinnzeeezzz
Meee toooo
Best explanation on the net - thanks again Khan Academy
0:54 mind blown, now I know why it's n-1
More subs than DramaAlert
lol u explain it all in the end but until then im like wtf how am i gonna remember it.
Same here, much easier to understand intuitively.
School is giving me grey hairs tbh
Same, my teacher says we have to watch this video, so im one foot in the grave.
Yeeeeah i got to 111th comment i am so proud of myself...but really the video explained way better then my teacher could in a week.
I keenly watch your videos.It is very nice of you that you have uploaded the video on derivation of sum formula of AP.More than a million students appearing for their class 10 exams this march 2013 in india will remain greatful to you.Thanks
Thanks sir awesom...... from India
what is n? and how do you figure out what it is?
Hello!!could any body explain the solution...
If avijith saves rs.400 more each year than he did the year before and if he saves rs.2000 in the 1st year ,after how many years will his savings be more than rs.100000 altogether?
Thank you!
This explained it well. Thanks.
Great sir❤❤❤
AUUUUUUGGGGGGGGHHHHHHH! how am I going to remember this?!?!?
at 6:20 you said that it makes intuitive sense because you're increasing by the same amount every time, i dont see how thats intuitive but would really like to know. can someone PLEASE elaborate on how it is intuitive? thanks in advance!
this was extremely helpful and understandable, thank you
Very well said
Your brain is 3 times the size of the average human, thanks for simplifying things and helping me to muse my mind......
always learned this w/ the anecdote of a 10 yr old Gauss, finding the sum of 1-100.
Love from India
Omg thank you soo much I understand this now
😂😩😩😩
Thanks
I honestly love you man! saved me at least 20 mins!
How do you predict the (for example) the 15th term?
a15 = a1(15-1)d
Nice work. Thanks.
how do i find the sum of the next 18 terms and the sum of the first 18 term if im given an arithmetic progression ?
geat explanation
Why n' th term is a+(n-1)d
you repeat your words so much
+K Serena It's to help you learn
+Zohirul Islam Jewel Repetition does not help learning. It helps retention. One needs context and analogy for learning. Salman Khan is unfortunately rather weak in this area based on the tutorials.
*****
Retaining new information is part of learning. You can look up context and analogy else where, this helps to learn the steps.
+Zohirul Islam Jewel Retention has no value if one doesn't comprehend the instruction. This is where context and analogy come in. Because he's bad at tying his lessons into more basic knowledge that a student is likely to possess, comprehension suffers. This is where a lot of teachers fail miserably with their students.
+David Metcalfe You can learn context and analogy when you learn jobs where they use the math in, or you can just ask the math teacher at school where the would use the math they're learning in class, that's what I do. Sometimes the teacher will tell you that with out you even asking.
THANK YOU ALOOOOT
Stop making it complicated
so im gonna fail maths
Sometimes you repeat your words. (just saying)
5050 it is
how to find the n in the 'n-1'
just count or identify the number of terms for example 3,7,11,15,19. your n will be 5
eye Opener
how can i got that for me
I use don't understand ur version. My teacher give us an equation and we solved it. I he give us numbers to put in equation. Ur vensionnfrsio
what if they give me every figure except for the value of n. how do we find n?
The value of n, plainly put is the no of figures given. Like from 2-11, the value of n is 10.
If every figure is given, you can either count all of them, and that would be its value.
OR
You could divide the last term by the difference between any two terms (d), and the quotient you get is the value of n - 1.
For example, let's take 1,3,5,7,9.
The last term is 9 and the difference between each term is 2.
Thus 9/2 is 4 with remainder 1.
Add 1 to the quotient and you get the value of n.
And in addition to that you also get your first element i.e. In this case 1, so you can cross check your answer.
+Aayush Kucheria
You are partially correct. The second method won't work if the series involves numbers lesser than 0
So taking the same example:
if the series was -1,1,3,5,7,9..The number of terms is no longer 5
This formula is too complicated not a good option lol
why we multiplyed n
Because there are n terms in the sequence. So if we are adding up some term again and again, n times... it's the same as multiplying that 'some term' by n. It's kinda complicated to absorb at first but once you get it, you'll know exactly why with no problem
u have not explained where is n coming from and you have to multiply it to the rest of the series
I am having my online class yet i still don't understand this argghhh i want academic freeze rn
this is sooooo confusing
@Khanacademy what does the n mean in (a+[n+1]d)?
I jusr need to know how to find the common difference omfg
We can't understand your hand writing
what
Why did you do (n-1) ? Why not just 'n'. ?
Bcz a,a+d,a+2d,a+3d+,...,+a+nd this is arithmetic series and for nth term if the formula would be tn=a+nd and u will gonna solve it let's say for n=2 a/c to the above formula t2=a+2d but in actual the 2nd term is a+d that's why we use tn=a+(n-1)d a/c to this t2 would exactly be a+d.
god bless
unpopular opinion : I actually like comic sans
Aerial for life
Yes!!!!!!
😭
Dingus khan
🤩🤩🙏
mr khan, there's a problem in ur video.We can't watch anything. faltu
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wot
My teacher took a whole week to explain this 8 minute math to our class
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lol small world
The heck
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What the fuk is the d stands for?
The difference between one term and the next
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bro this shit makes no sense u cant just use variables u need real numbers
Thanks
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