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

[@prab3636]

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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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!

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[@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?

[@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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Life saver!, this technique wasn't even given in my textbook. Thank you so much!!!

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dude u saved my life man i have exam tmwr and didnt understant anything after 3 weeks of class, and u manage to teach me in 9min
THANK YOU

[@andresvazquez442]

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

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

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[@brianmclogan]

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[@brianmclogan]

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

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[@brianmclogan]

You are very welcome

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[@brianmclogan]

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

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[@brianmclogan]

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only if everyone had a teacher like you

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

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[@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.

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[@brianmclogan]

Happy to be able to help you out!

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you inspire me to be a math teacher

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Thanks, you just saved me from my mental breakdown

[@brianmclogan]

Boom!

[@jojo2767]

THANKS TEACHER

[@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!

[@miamiau-p7n]

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

[@jasminelie1600]

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

[@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!

[@lucatmylife8075]

Your videos are really helpful thank you !

[@brianmclogan]

you are very welcome!

[@Prod.ericblack]

Outstanding move !

[@maccleary9576]

God bless you and God bless the United States of America. You should run for President. Thanks for the maths assist.

[@joanamaylumongsud3390]

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!

[@m.u.a.z4708]

thank you..a lot

[@brianmclogan]

you are very welcome!

[@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!

[@iceepic1723]

Sir tusi great ho

[@wengramos]

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

[@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?

[@JohannesMosie]

Thank because I'm writing an exam tomorrow

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this is a life saver 1 day before your test 😂

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

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Thank you so much. I have to finish a math class before I can go out on a date with a girl. And my parent's would've made me cancel if I didn't finish. I couldn't have finished without this video. Thank you. So Forking Much

[@brianmclogan]

You're so welcome happy to help you date haha!

[@mrjohndoe6981]

thanks

[@샨리위노나]

Arigato Sensei!

[@Aretim5882]

Wow Logan I like that way. That I want to use a calculator on my phone for this. Well I think thank you

[@iviwemndi176]

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

[@spartanrabbit]

dude you are awesome!! really! :)

[@brianmclogan]

happy to help

[@jonesonias3249]

I wish you were my teacher

[@angelicamaybesin5333]

Thank you Sir, I Iearned a lot!

[@theellaphant.]

tysm

[@ChickenAlliance]

2:12 blew my mind

[@brianmclogan]

😀

[@nallalalaxmirajam3771]

thankyou so much sir

[@brianmclogan]

you are very welcome! happy to help