Geometric series convergence and divergence examples | Precalculus | Khan Academy

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Sal looks at examples of three infinite geometric series and determines if each of them converges or diverges. To do that, he needs to manipulate the expressions to find the common ratio.
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[@kareemr7582]

00:54 Understanding convergence and divergence of geometric series
01:48 Geometric series convergence and divergence criteria
02:42 Geometric series convergence and divergence
03:36 Geometric series with common ratio 4.5 diverges.
04:30 Algebraic manipulation to simplify geometric series
05:24 Geometric series properties applied with examples
06:18 Understanding convergence and divergence in geometric series
07:08 Geometric series with common ratio between 0 and 1 converge

[@davesreview3033]

Thank you so much. My calculus 2 test is tomorrow and this helped so much!

[@oscarcota1133]

This is calculus 2?

[@davesreview3033]

@@oscarcota1133 yes?

[@ansar107]

We just started this unit in calc 2 and I'm so lost. I needed this video to help me because I couldn't understand my professor 😭

[@ian.ambrose]

Sir this is Calculus 2.

[@cr7neymar908]

wait how is this pre calc lol? I'm doing this in calc 2

[@huizylove]

I'm confused about the n in the summation why do some have the exponent like n and others have it n-1?

[@farida9146]

You are a lifesaver 😀

[@destroctionmonkey]

hahaha this is not precalculus

[@erizzo8543]

Could be

[@WisperAce]

You're in for a world of surprise buddy

[@yovannifabian8673]

this is good but he didnt cover what value the summation will conv too. youll have to take r and do the a / (1-r) to get the value to which is conv

[@amritkumar7488]

Convergence also occurs at r = 0

[@ice-nw3ps]

If it converges what is the sum?

[@IsZhouyiran]

Lol i taught that 9 is q and i go deep there😂🎉

[@IsZhouyiran]

I guess ill failt tomorrow's test but at least i solved all the three by myself :(
So proud of me😂❤

[@kirchoffkyle]

Did you pass?

[@IsZhouyiran]

@@kirchoffkyle surprised. But yes🤣✨️

[@LlamaforLlama]

rip my grade

[@ainulsyafiqah1044]

erk may i know how 1/9^n is equal to (1/9)^n ? how?

[@divyanshushankar8134]

Since 1= 1^n ...so 1/9^n = 1^n/ 9^n = (1/9)^n
As a^n/ b^n = ( a/b)^n

[@nicjvr2297]

Because 1 raised to any power is 1

[@floccinaucinihilipilificat6749]

precalculus??????

[@thisisalbyjacob]

F legend