Given two terms find the nth term of a geometric sequence
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- čas přidán 29. 04. 2013
- 👉 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
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✅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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bless this man and his beautiful 6's
haha never knew they were different till youtube
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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.
Prabh Dhillon you are very welcome! so happy to be able to help you out!
Prabh Dhillon i do better if I am alone with the teacher... having others slows me down, because there are too much the teacher must observe at.
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I wish i had you as my teacher
thanks, just trying to help as many students as I can
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@@jasmineortiz1050 lol
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
Perfect! thank you for adding
But how did you know what a1 is
@@pranavi1949 a1 would be the first term that isn’t the initial value of a0
Yes A1=1000
what does a1* mean?
Sir, thank you. I’ve learned more in these 9 minutes than the whole year in my math class.
happy to be able to help you out!
set the speed to 2x and you can be twice as disappointed in standard education!
God bless!!
Can't thank you enough! I was stuck from days on this concept and your video cleared all misconceptions. Much appreciated sir!
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.
Wish my math teacher was this fun to learn with. A video does better than my current maths teacher
Great video! confirms what I thought about solving a geometric sequence when the first term is not given.
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God bless
Thanks helpful a on all my tests
This guy’s amazing, my teacher is really bad and this helped a crap ton, thanks!
Thank really helpful got a on all my tests
:O You're awesome! I have four tests coming up tomorrow, so I really need to study! This helped so much! Thanks! :D
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
Wish I had you as my professor, it'll be more easy for me to understand then
Had a similar problem like this on my math homework. Thanks so much for this, it really helped a lot!
Thank you for providing your teachings.
Thank you. Articulate and informative.
That make sense! 👏 Bless this teacher🙏
doing this is 8th grade honors algebra one. Teacher didn't explain this yet. Thanks!
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Best college algebra video... helped out alot
Your the only person I could understand.
@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.
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.
just here making videos! glad you found me and I am able to help you out!
Taught this better than my college teacher! thanks man!
Rachael L : ) thanks happy to help
Why I’m I learning this in middle school
lol same I'm learning this in middle school
Thank you Sir, I Iearned a lot!
You explained this a million times better than my online Algebra 2 course thanks man
happy to be able to help
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....
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!
You literally just saved my homework grade😅
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Happy to be able to help you out!
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!
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
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Thank you sir , it helped me a lot
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This was very helpful
Thank you so much very helpful ❤️
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
just happy to be able to help you out!
This is very helpful and thank you... but can you make a video about finding the general sequence and not a specific term
Outstanding move !
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only if everyone had a teacher like you
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you are very welcome!
thank you very much
Thanks brother
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.
thanks for sharing Manjot!
U are very active sir
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?
What if the progression is formulaic with 2 variables?
This man's explanation is very understandable.
Happy to help!
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💯
THANKS TEACHER
I have a test tomorrow and it was dire that I find a video like this to aid me! Thanks!
skullcrusher701 very welcome! how did you do?
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.
this made me learn more than i learned in a week lol
Thank you so much. That was so helpful!
I'm doing this in 9th grade in advanced algebra 2.
good for you, keep up the hard work!
The BEST!!👍👍👌
you inspire me to be a math teacher
is there a reason for not using simultaneous equations ?
how did you simplify 6√1 over 6√64 and then ½=r??
Thanks, you just saved me from my mental breakdown
Boom!
Thank you Brian
You are very welcome
why do you teach better than my pre-cal teacher... she has a masters in engineering.
Arigato Sensei!
Wow. It is amazing how this 9 minutes is more effective then 5 classes of algebra. Thank you
dude you are awesome!! really! :)
happy to help
great vid, keep up your good work. i got a 92 for a quiz after having your video
kevin mao awesome! happy to be able to help!
Mr. McLogan's Math Channel your welcome. do u channel talk about how to derive sum of geometric sequence equation?
Tysm this helped
I keep getting 1/8 after entering it into the calculator; do not understand what I'm doing wrong to get my r factor.
this is a life saver 1 day before your test 😂
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!
how?
tysm
thank you..a lot
you are very welcome!
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
How do you find the 1st term sir?