Given two terms find the nth term of a geometric sequence

👉 Learn how to find the nth term of a geometric sequence. 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. A geometric sequence is a sequence in which each term of the sequence is obtained by multiplying/dividing by a common value, called the common ratio, to the preceding term.
The formula for the nth term of a geometric sequence is given by An = ar^(n - 1), where a is the first term, n is the term number and r is the common ratio. We can obtain the common ratio by dividing a term by the preceding term or if the known terms are not consecutive, we can obtain the common ratio by taking the nth root of the quotient of the two terms, where the n in the nth root is the difference of their term numbers. Plugging the required values into the formula, we can obtain the required nth term of the geometric sequence.
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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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#sequences #brianmclogan

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after slowing this video down, and doing the math homework given to me following your steps, I've learned more in 15 minutes of you video compared to 3 whole bells of algebra. Thanks man.

[@brianmclogan]

Prabh Dhillon you are very welcome! so happy to be able to help you out!

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[@brianmclogan]

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[@user-kr2qh6in9k]

Sir, thank you. I’ve learned more in these 9 minutes than the whole year in my math class.

[@brianmclogan]

happy to be able to help you out!

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set the speed to 2x and you can be twice as disappointed in standard education!

[@-clipz-]

God bless!!

[@rohmanisar7091]

Can't thank you enough! I was stuck from days on this concept and your video cleared all misconceptions. Much appreciated sir!

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Thank you so much! Doing math homework used to mean staying up all night crying and praying that I would do okay on the text, but thanks to your videos,I've gone from 60/70s to 90s in college pre-calc.

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[@-clipz-]

God bless

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Wish my math teacher was this fun to learn with. A video does better than my current maths teacher

[@andresvazquez442]

Great video! confirms what I thought about solving a geometric sequence when the first term is not given.

[@Ray-ye8gz]

Mr Brian, You could have found a14 in another way too. Since you found r=1/2, you can use the usual formula, a14= a1* r^13 ,, to get the final answer, 1000/8192 = 0.1221

[@brianmclogan]

Perfect! thank you for adding

[@pranavi1949]

But how did you know what a1 is

[@vauntyy.]

@@pranavi1949 a1 would be the first term that isn’t the initial value of a0

[@galithomas9252]

Yes A1=1000

[@reflection9924]

what does a1* mean?

[@gavind.7918]

This guy’s amazing, my teacher is really bad and this helped a crap ton, thanks!

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Thanks helpful a on all my tests

[@Daniel-nm2qb]

:O You're awesome! I have four tests coming up tomorrow, so I really need to study! This helped so much! Thanks! :D

[@wengramos]

Had a similar problem like this on my math homework. Thanks so much for this, it really helped a lot!

[@ChrisS-rp7yo]

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Thank you for providing your teachings.

[@ran29120]

That make sense! 👏 Bless this teacher🙏

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[@saminkamal3670]

doing this is 8th grade honors algebra one. Teacher didn't explain this yet. Thanks!

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omg i wish i had you as my math teacher

[@analisantos3207]

@Brian McLogan Thank you for your video! I teach Maths and currently have a student that I am preparing for a Medicine exam. When teaching her about geometric progressions, she was quite puzzled about the possibility of negative common ratios, because she couldn't picture a real life example of an application for these. My training is fundamental, not applied Maths, so I am also having a hard time coming up with an example. Do you have any ideas? Thank you in advance.

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I'm getting ready for an exam for my precalc class that I haven't been able to attend for 3 weeks, so these videos are saving me. Thank you.

[@brianmclogan]

awesome! happy to help, good luck on your exam

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this video helped me in my distance learning. thank you!

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Wow you have helped me so much with pre-calc. Thank you!

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Thank you. Articulate and informative.

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i hope you know your videos are still helping kids all these years later, good job

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Took me a minute to understand, but now I do!! Thank you!

[@swaminator3617]

holy crap man, i have a test later today and was lost and you helped me so much. thanks sir!

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Thanks for all the great info!

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Where have you been all my life ??? Thank you so much , you elaborate so much clearer than my teacher and I actually understand my homework now.

[@brianmclogan]

just here making videos! glad you found me and I am able to help you out!

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[@mannatbaveja5989]

Can you do a problem where you are given for example, the first and the sixth term of a geometric sequence and you need to find the tenth term? And this video really helped me understand a lot of geometric sequences!

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M writing my engineering mathematics tomorrow and this has really helped alot 🙏🙏🙏 thank you

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Best college algebra video... helped out alot

[@matthewwood8269]

THANKS SO MUCH, this has helped me so much on my maths homework. I couldn't have done done it without this video.

[@brianmclogan]

Happy to be able to help you out!

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Your the only person I could understand.

[@superrexer6816]

You explained this a million times better than my online Algebra 2 course thanks man

[@brianmclogan]

happy to be able to help

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Omygosh I'm so happy, finally I found the most understandable video. THANK YOU SO MUCH 🥰

[@7wolfgaming710]

great video explains a point clearly

[@angelicamaybesin5333]

Thank you Sir, I Iearned a lot!

[@iviwemndi176]

This is very helpful and thank you... but can you make a video about finding the general sequence and not a specific term

[@zul2788]

So to find a1, all I had to do is plug in all found variables and solve it normally right? Only reason you chose to go for a14 = a10(r)4 is because its quicker and less time consuming?

[@Rachael3000]

Taught this better than my college teacher! thanks man!

[@brianmclogan]

Rachael L : ) thanks happy to help

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Why I’m I learning this in middle school

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lol same I'm learning this in middle school

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you're an amazing teacher I do learn after watching your video . You help a lot. I hope i'll be able to answer for the Math QUIZ :D

[@brianmclogan]

just happy to be able to help you out!

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What if the progression is formulaic with 2 variables?

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THIS GUY IS BRILLIANT

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Your videos are really helpful thank you !

[@brianmclogan]

you are very welcome!

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Thanks I learned something and it is easy to learn.Love it cause you know I am bored with other tutor..I can't understand what they are saying....

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is there a reason for not using simultaneous equations ?

[@aniki.]

Legendary, thank you!

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dude this guy is the goat i have a math exam tomorrow and i didn't get the lesson in 4 hrs of math class, and this guy managed to teach me in 9 mins

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I HAVE NEVER BEEN SO HAPPY AND SO GRATEFUL THAT SUCH A WONDERFUL HUMAN BEING SUCH AS YOU, SIR/PROFESSOR MCLOGAN EXISTS IN THIS WORLD FULL OF UGLY THINGS. THANK YOU SO MUCH FOR SAVING ME AND ALL THE OTHER STUDENTS FROM FAILING. THE WAY YOU TEACH IS JUST SO GENIUS THAT EVEN AN IDIOT LIKE ME CAN UNDERSTAND. THANK YOU SIR! YOU ARE VERY MUCH APPRECIATED BY YOUR VIRTUAL STUDENTS/US. MAY YOU HAVE ALL THE LOVE, HAPPINESS, AND KINDNESS THAT YOU DESERVE. THANK YOU!

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only if everyone had a teacher like you

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[@DonaldMurf]

great videos as always

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Outstanding move !

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Had to come to your great videos to teach me this in 5 minutes while my professor gives me homework with stuff she has never taught me before

[@loicst-denis4201]

great content thanks!!

[@jessielyon]

Thank you so much. That was so helpful!

[@jessielyon]

I'm doing this in 9th grade in advanced algebra 2.

[@brianmclogan]

good for you, keep up the hard work!

[@skullcrusher701]

I have a test tomorrow and it was dire that I find a video like this to aid me! Thanks!

[@brianmclogan]

skullcrusher701 very welcome! how did you do?

[@skullcrusher701]

93! The part of the test that this video was over, I got correct. Btw my teacher took a while to grade so I had to wait to comment.

[@user-iy9od5zk6w]

Thank you so, so very much for opening my mind up to the 6th factor.!! Is there any way to just jump from the 6th straight to the 14th?!? J/K, I know that’s not possible but it would be fun to think so, lol!! Thanks again Aaron Jesse💯

[@spartanrabbit]

dude you are awesome!! really! :)

[@brianmclogan]

happy to help

[@jeremyclark9697]

This was very helpful

[@Doolin.S]

You literally just saved my homework grade😅

[@jasmineortiz1050]

im flying through my work thanks bro

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Thanks a lot my best teacher I had failed but indeed your best to me

[@ayaanmumtaz2007]

Thank you sir , it helped me a lot

[@jasminelie1600]

Huhu...Finally, I answered my assignment .... Thank you very muchhh

[@manjotsihra8645]

I found it easier to just find the 1st term by dividing the 4th term by 1/2, then taking that number and dividing it by 1/2, and doing this until I reach the first term. It didn't take that long to do either, because of its simple division. I then used the 1st term in the formula and it got me to the same answer.

[@brianmclogan]

thanks for sharing Manjot!

[@precioussiete1391]

how did you simplify 6√1 over 6√64 and then ½=r??

[@themostmlgjellybean607]

Wow. It is amazing how this 9 minutes is more effective then 5 classes of algebra. Thank you

[@hemusingh5959]

the third and 13th term of an a.p are -40 and 0 respectively. find the series and its 20th term ? How could you sir plz tell me

[@watamelon9622]

This man's explanation is very understandable.

[@brianmclogan]

Happy to help!

[@billbob5294]

How do I use my ti83 to solve more complicated problems.

[@jasmineortiz1050]

you inspire me to be a math teacher

[@MrCarterVince]

great vid, keep up your good work. i got a 92 for a quiz after having your video

[@brianmclogan]

kevin mao awesome! happy to be able to help!

[@MrCarterVince]

Mr. McLogan's Math Channel your welcome. do u channel talk about how to derive sum of geometric sequence equation?

[@sevalkaya74]

You could’ve also plugged in 4th term or 10th to solve for a sub 1. Then using a sub 1 and common ratio you could simply find out 14th term. I def understand the pressure but this how I would do. Thanks for the transparency!

[@aynamoon128]

how?

[@sarahmateo9043]

The BEST!!👍👍👌

[@jojo2767]

THANKS TEACHER

[@stvndnh1071]

why do you teach better than my pre-cal teacher... she has a masters in engineering.

[@jaredtreat2729]

thank you very much

[@billfrancisroa159]

Thanks brother

[@doingboing4608]

Thank you Brian

[@brianmclogan]

You are very welcome

[@rhourhu7303]

this made me learn more than i learned in a week lol

[@jennapetruniak3224]

I keep getting 1/8 after entering it into the calculator; do not understand what I'm doing wrong to get my r factor.

[@danieldrewbustillos3380]

How do you find the 1st term sir?

[@clacne2541]

Does anyone know how to do this when you're only given 2 sums of two sets of terms? For me the question is: In geometric series, the sum of the 2nd and 4th terms is 156, and the sum of the 3rd and 5th terms is 234, find the first term and common ratio

[@asharibimran5645]

great explanation!!u nailed it,but plz can u explain what is geometric sequence???

[@brianmclogan]

basically a sequence of numbers that have a common ratio between the terms

[@m.u.a.z4708]

thank you..a lot

[@brianmclogan]

you are very welcome!

[@Nabish1]

Your profile picture is how you look like looking down on us in math heaven

[@ChickenAlliance]

2:12 blew my mind

[@brianmclogan]

😀

[@ravegames1003]

I like how in the opening, If you listen closely you can hear that Brian says shut up. Reminds me of my teacher.