Worked example: finite geometric series (sigma notation) | High School Math | Khan Academy

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Sal evaluates the geometric series Σ2(3ᵏ) for k=0 to 99 using the finite geometric series formula a(1-rⁿ)/(1-r).

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I just have one question: Isn't the R value greater than 1, therefore it should be r^n - 1 right?

LordTechPro
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you never actually derived the Sn = a(1-r^n)/(1-r) formula at any point in your vids.  or did i miss it.  I have been going in progression on your website.

JuliusSP
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Could y'all do this and the other stuff about AGPs too ?

akashdikpati
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Why?
Not play on khan academy app in Indian curriculum

maaatif
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I have a problem I cannot seem to solve. I am given 3 partial sums S3 = (-49/8), S4 = (-105/16), and S5 = (-217/32) and asked to determine the common ratio. Can you please help? I've tried to use a system of equations from the summation formula but cannot seem to make it work.

landonschannel