Finding The Sum of a Finite Geometric Series

This calculus video tutorial explains how to find the sum of a finite geometric series using a simple formula. This video contains plenty of examples and practice problems including example problems in the form of a geometric sequence of partial sums and in the form of sigma notation or summation notation. The finite sum of a sequence is known as the partial sum of a sequence.
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Which term of series 3+6+12 .... is 192?

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thankx man really appreciate that. and(if I'm not being too greedy) can you make another video on the same topic but on geometric finite series word problems(tricky ones) thank you

[@hluke7793]

I need your help with this problem : The second term of a sequence is 17 and the sum of the first six terms is 147 : Determine the first three terms and the nth term. .. Please help me. ...if you have a video referring to this problem may you please give me the link.

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[@urlyrc4814]

in 3:41 how it can be 15 at the end, when the ratio is 3? doesn't it was 13 after 10?

[@vangiematias3244]

Hi where did the 3 came from At time -3:10

[@cedricsusmena271]

hello, may I ask? how do you get that 27(1- 4 .587x10 raise to -15?

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Just Imput at the calculator

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You can get that (1|3) raised to 30 input it you can get the

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Yo I really don't get the part where you multiplied the rational and geometric sum like how?

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How do you find the sum if the series is alternating?

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Can you elaborate on what you mean by "alternating?"

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Iam requesting to explain begin logic thanks

[@tomstafford7510]

When I learn formulas I spend a good few minutes working out *why* the formula functions to solve the problem. Now using it like written calculator, but really trying to recognise the reason it works. I cannot for the life of me work out *why* this equation works -- just that it does.

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There is a video on khan academy that explains why the formula works.type geometric series in the search box

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[@hya2in8]

5:43

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This video is really helpful but man I had it to 2x speed the whole time

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what if there is no common ratio?

[@xaphiron]

you find it by dividing two consecutive terms in the geometric sequence

[@sohatsharma2004]

shouldnt it be n+1

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No because We are decreasing

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We are not finding the sum

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what if it starts at 0?

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Thats not Available

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it is Become irationable

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Joke you can't solve that without a1

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1+4+16+64+.... And if you total them its 85-1 84 but if you solve them using that its 255??????y?? Please reply

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How did he got 32?

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I thought nth term is 7

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