What is the recursive formula and how do we use it

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence.
An arithmetic sequence is a sequence in which each term of the sequence is obtained by adding a pre-determined value, called the common difference, to the preceding term. A geometric sequence is a sequence in which each term of the sequence is obtained by multiplying a pre-determined value, called the common ratio, to the preceding term.
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Organized Videos:
✅ Sequences
• Sequences
✅Sequences | Learn About
• Sequences | Learn About
✅Determine The First Five Terms of The Arithmetic Sequence
• Determine The First Fi...
✅How to Write The Formula for a Arithmetic Sequence
• How to Write The Formu...
✅Find the nth Term of an Arithmetic Sequence
• Find the nth Term of a...
✅Find the First Five Terms of a Geometric Sequence
• Find the First Five Te...
✅How to Write The Formula for a Geometric Sequence
• How to Write The Formu...
✅Find the nth Term of a Geometric Sequence
• Find the nth Term of a...
✅How to Determine Arithmetic or Geometric Sequence
• How to Determine Arith...
✅Find the First Five Terms of a Sequence
• Find the First Five Te...
✅How to Write The Formula for a Sequence
• How to Write The Formu...
✅Find the nth Term of a Sequence
• Find the nth Term of a...
✅How to Simplify Factorials
• How to Simplify Factor...
✅Recursive Sequences
• Recursive Sequences
✅Prove the Sum by Induction
• Prove the Sum by Induc...
✅Find the Given Term of Binomial Expansion
• Find the Given Term of...
✅Binomial Expansion | Learn About
• Binomial Expansion | L...
✅How to Expand a Binomial
• How to Expand a Binomial
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
#sequences #brianmclogan

[@alfaomega3181]

ak+1=(k)^2+1 should be ak+1=(ak)^2+1

[@brianmclogan]

thanks

[@tmwbatman1160]

Brian McLogan Please tell me you don’t profit from these videos.

[@baseplate_462]

@@tmwbatman1160 why shouldn't he, jacksepticye and other big name gaming youtubers don't have skill and its debatable if they have talent. he literally got a degree to teach you? that's literally how economy should work he provides a product(that isnt just someone yelling and playing with slime with a clickbait thumbnail) and you pay for that product by watching ads. lol

[@arbbr9397]

@@tmwbatman1160 why not...

[@arbbr9397]

@@baseplate_462 you're a fucking fool if you think a big gaming youtuber doesn't have skill or talent. it may not be in a form that you acknowledge or respect but that's due to your ignorance and not their lack of ability

[@pranavm.9513]

Coby just had a redbull.

[@jakek8374]

Colby is a legend

[@brianmclogan]

haha right

[@juliansanciprian3572]

juss watched the whole thing confused n mad at coby.

[@amairannydabdoub93]

Come on Colby I'm trying to focus.

[@brianmclogan]

yea!!

[@isabel364]

I came here to say thank you for helping me from my geometry class because I passed it with A+ for the whole semesters in my sophomore year and now I’m a senior 😊🙏🏼 I would never forget about this channel

[@ethanbrown8696]

Darn it Colby!

[@brianmclogan]

haha

[@raimonlewis2019]

Man you don't know how helpful this is for my summer school, thank you.

[@justinsylvester9858]

Now I know why I fail math.....not bcuz of homework or not paying attention......it's COBY

[@rutgerhadge7694]

You are a great math teacher, thanks for making these videos available.

[@LavenderMoon8467]

The amount of times this guy has helped me Is actually quite embarrassing, but I’m grateful nonetheless. My district has started this new Carnegie learning math thing and no one is learning anything. I basically have to watch these before my test.

[@unikittycats4211]

frickin coby

[@peterlohnes1]

A lot of students always get confused by the SUB numbers...the SUB numbers are NOT part of the equation. They are like saying term one, term two, term three....they dont go into ANY of the calculations. At all. Its like saying a Audi8, Audi7, Audi6...they mark a new generation or next years model, Audi 8 doesn't have 8 tires or anything, its just the next years model. But it takes so long to write down term one, term two, term three in words, so we write t1, t2, t3, or a1, a2, a3. The only relationship the sub numbers have is to say a3 comes after a2, and a2 comes after a1, just like models of a car.

[@yanibaby1]

fax

[@nathansmith7821]

calm down Colby

[@alyssa5236]

Thank you, this was helpful!

[@jamieramireztorres5983]

its 2020 we’re doing online school u helping me not fail

[@altheapalis]

Sir, I have a question, are all explicit formulas arithmetic? Because my teacher told us to make an explicit formula for this: 2, 4, 7, 11, 16, ... & I think it's supposed to be under recursive..

[@clloydmathison995]

Either you had a bad headache teaching this topic or you were confused. I love your videos, even though you are just so rushed most of the times. This video should be deleted. It is confusing!!!

[@ogsupremelyvida]

I needed this alot. TYSMM

[@onyoucho6076]

So, can you only find the next term when you're using the recursive formula? I'm confused...

[@usernope728]

f(n+1)=-2f(n)+8 and f(1)= for n>1? Please help list the first five terms

[@user-vr5jx3hy4r]

Buh I’m subbing. Mr you are a ledgend

[@cheesypizzajokes]

godammnit Coby

[@EvermoreisTimeless]

Why does Colby have his headphones in...

[@myles9700]

pokemon theme is playing

[@sesameseed0426]

Well.... u just got a new subscriber lol. Thank you for this!!!

[@edberaga6357]

I don't know how did the "a3+1 = 5^2 +1".... isn't the k is 3? shouldn't supposed "a3+1 = 3^2 +1"

[@2002cc]

So this would be for an arithmetic recursive formula, right? And if so do u have a geometric recursive formula example?

[@user-hj2vd7sj8o]

Hi! I’m sure you covered this in class, but I recursive formula for a geometric sequence could look something like this Un = Un-1(.5) UsubN = UsubN-1(.5)

[@peterlohnes1]

Oh coby, you got the old seat change to the front buddy, no more texting in class

[@ashtondonaghy1154]

Thought we start with a sub 0 as our first holding term, I guess it doesn’t affect the math tho

[@arsenic1x487]

Confused me at first with the 2 I was like "this guy is pulling numbers out of his ass" tell Colby I am very disappointed about his behavior

[@fariskittaneh5061]

1:38

[@kurtbenner8095]

you are a saint!!!

[@joeyhernandez5078]

Colby

[@bruhmomentum1387]

1:36 LOL

[@SeanOsborne-sb7om]

im learning this in 8th grade..... pray for me

[@kelseysanders9251]

Just trying to clarify wouldn't a4 = 10? Because k=3 and when you plug-in to the formula it would look like this: a1+1=1^2+1 --> a2=2 a2+1=2^2+1 --> a3=5 a3+1=3^2+1 --> a4=10 * a4+1=4^2+1 --> a5=17

[@lol.7031]

No it wouldn’t, because it uses the last value you gained, not the 3; so it’d be 5^2 + 1

[@marcellorudofsky3633]

what do we think colby was listening to?

[@jbee1999]

colby needs to clean up his act

[@oofoof5208]

Instead of “Goddamn it Bobby” it’s “Goddamn it Coby”

[@domanicmarcus2176]

Coby is probably looking at this vieo 8 years later and realizes that he was a trouble makler since he was young. I wonder if Coby ever finished college. He looks like he will be a tow truck driver. LOL

[@rebeccamclean1541]

He'll probably make more money driving trucks.

[@MythologyBoy101]

i dont know who coby is but goddamnit coby

[@violetsylvia1951]

why is a of 1 =2. shoud it not equal 1?

[@Hi-bs7xv]

No because a of 1 means that it is the first term in the sequence and 2 is what the 1st term in the sequence is does that make sense

[@nicholascernatescu6685]

NightcoreForever incorrect The first term in the sequence was 1 He even corrected himself

[@Hi-bs7xv]

The Conservative Dude oh thanks for the clearification I must Have not heard him

[@nicholascernatescu6685]

NightcoreForever No problem 👍

[@ayoitxclippz1742]

Colby pls sit down and listen to the teacher

[@Pixivic]

Do this Hard Maths really needed to live a life, i don't know why they keep forcing us to learn complicated things, aren't basics math enough for everyday life, it's not like we gonna compete on our jobs anyways

[@user-vr5jx3hy4r]

Gasp! Colby! 😮😮😮😮

[@user-sm7wj9ck1p]

This is rad! 😂😂😛

[@megg7558]

Brian you seems to be a little bit confused. K^1,k^2,K^3 etc

[@brianmclogan]

sometimes I trip myself up

[@4HorsemenVlogs]

OOOO COBY GOT IT TROUBLE

[@100sourav100]

a(k+1) = a(k)^2 + 1 ?? Isn't that the Recursive function here?

[@brianmclogan]

+Mrinal Sourav not sure if I would make any changes to the work of this video

[@greenlion4558]

feel bad colby

[@tmwbatman1160]

Take this video down, redo it, or you risk losing credibility.

[@ALIMALIK-is4lb]

instead of 5

[@ALIMALIK-is4lb]

To find A sub 4, wouldnt k be 3

[@GauravGupta001]

ikr I think he made a mistake

[@w1sh1t38]

who is watching this in 2023👇👇

[@sora_is_my_dad420]

69k views... nice

[@ChillBill636]

Wtf did colby do tho???

[@Divine.777]

come on coby

[@Jahqsin]

bruh kobe 💀

[@user-vr5jx3hy4r]

Colby… don’t be a trouble maker…

[@chillie2514]

I’m a middle School Math Teacher and this Teacher is making this way too complicated and difficult-my 8th graders can teach it better 😆😆

[@brianmclogan]

Thank you for the kind words, agree the video and explanation could be better and I have plenty more videos on the topic

[@rashasyed8075]

What the frick was this video. He made so many mistakes, I'm so lost.

[@justinsylvester9858]

It's bcuz of Coby

[@MurphysEveryWhim]

So many mistakes....

[@tmwbatman1160]

Murphy Waggoner Another garbage video.

[@moishe43]

This video is unclear and would leave many confused, I'm afraid.

[@brianmclogan]

sorry about that David

[@LW-ng1fl]

Brian McLogan LMAO

[@sTan2493x]

MMATH SUX

[@Pixivic]

Indeed man,

[@meorah3314]

this guy is such a bad teacher. like wtf just tell me how to do it

[@brianmclogan]

i have many of those types of videos too

[@joeyhernandez5078]

Maybe you should pay attention in class so you dont have to watch videos at home

[@2002cc]

I find his videos so helpful, he clearly explains step by step. I would recommend other teachers if u don't understand him like try Mario's math tutoring or Khan academy. Everyone learns different

[@leeyumi4183]

@@brianmclogan Hello. I just want to tell you that no matter how many negative comments are here. Most of us are still thankful for your efforts. Actually, you're one of the best teachers out there! AND I LITERALLY GO HERE WHENEVER I HAVE MATH STRUGGLES. YOU HELPED ME A LOT! thankyouuu :))

[@gavinswauger9834]

try math by fives👌his vids are good too

[@sherwan7910]

this was really bad, not worth uploading

[@usernope728]

f(n+1)=-2f(n)+8 and f(1)= for n>1? Please help list the first five terms