Writing a General Formula of an Arithmetic Sequence

anyone cramming through this the night before their exams

I suck at paying attention to online school so i look these videos up. It’s 100% my fault tho for not getting the subject lol

Not to be picky but some of your examples are not arithmetic sequences. The square sequences, for example, or the alternating -1,1-1,1 etc (which I think would be a geometric sequence with a common ratio of -1).

The explanations are nonetheless useful, but since the video title refers to arithmetic sequences, this may cause a little confusion.

Thank you very much

you are the most respected teacher for me. Alot of thanks from Ethiopia 🙏

thank you Sir... your yt channel is very helpful

WOW OMG THANK YOU

What a great teacher am learning without struggles with your proper and calmly explanations. Thank you very much, sir.

your video's can teach better than my school

You making it look hard and it it hard

Can you repeat how to get rule slowly ?????

outstanding instruction!

Who watched the video in 2022?

Istg after searching for 30 minutes for every topic i always ultimately end up on this channel.

super amazing, thanks man

mans is a cheat code

TO GOOD

This guy is the best when I don’t listen to my math teacher

THIS IS PERFECTLY BETTER THAN MY MATH TEACHER!!

I'm always here🥰

im kinda upset with my math teacher because she kept asking for the general formulas of a certain sequence without tackling a single hint about the arithmetic formula and explaining how to to solve it.

Thanks and appreciate your work ♥️🇳🇵

My teacher said to just guess the general rule...but I don't like guessing things...I like following formulas...so thanks for getting a formula to GET the formula hahahah...but the negative,positive,negative,positive sequences are the ones that I am worried about but I think I got this...thanks again.

Thank youuu!!!

I am from Cameroon, à County in Africa and I am you highest fan, University student and nothing without you in maths.

Nice video, however, could you make this video as though explaining to a child? I am not understanding how you get your a to the zeros and why we subtract one, etc. Thank you for trying at least.

5 years later and I still have to say thank you so so much. My professor has never taught this before.

This dude is amazing

If there's no common difference between sequence

I wanna marry you <3

This man deserves a Nobel Prize. I mean seriously. He is helping millions of people around the world learn difficult concepts in less than 15 minutes, and it's all free for us to access

An alternative method for an equation to solve for a sequence's equation is by writing a(n)=d(n)+a(0)
[()=subscript], whereby a(n)= the sequence and or the coefficient as the common difference number times an interchangeable number [n], + the sequence to a subscript of 0 [a(0)] given this is equal to the constant that upscales or downscales each term [i.e 7,10,13 and 3,6,9 are technically both the same sequence only the constant of a(0) is different with it being 4 for the first variation and 0 for the second variation] depending on the sign of its value (positive or negative) given a subscript 0 is also a value that differentiates a variation of sequence from an original sequence that is otherwise identical and is a value that exists independently of the common difference between numbers. This way the equation can be applied to any type of arithmetic sequence regardless of its values and conditions as you simply have to substitute numbers into this skeleton or outline, while this is technically accomplishing the same result it is easier to remember this formula and it is more universal.

Additional formulas and summary: d=a(2)-a(1)
a(0)=a1-d=a(1)-[a(2)-a(1)]
a(n)=d(n)+a(0)

You are the reason im passing maths class so thank you 🤝

This is hard for me

OMG 😮 who are you

Appericiate it❤

My god once I graduate I will gift as a thank you :)

good job

Hear me out, his voice is so..

love you, bro. tnx for this

HI, I don't honestly know if youll read this or what, but im hee to give you my gratitude! I've been struggling to solve a problem for the past 2 hours only to stumble to this video and realize how easy it was. Thank you sou muchh!!! :))

I swear to god I wish I was autistic. There’s autistic guys in my calc 2 class that can literally see the patterns in 3 seconds

she is brith 🎉

Another huge thank you! I would not have a passing grade without you my man.

Exam tomorrow

Exam tomorrow

muy excellente! feliz navidad!

I'll just accept the fact that I'm never understanding math

is it js me or he sounds a lot like jake sim