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Mathematics 22 Online
OpenStudy (fanduekisses):

USE SUMMATION NOTATION TO WRITE THE SUM... pls help!

OpenStudy (fanduekisses):

OpenStudy (fanduekisses):

\[\sum_{n=1}^{??} 10(3)^{n-1}\]

OpenStudy (fanduekisses):

@campbell_st

OpenStudy (fanduekisses):

idk, I thought setting 7290 = 10(3)^n-1 would help but idk...

OpenStudy (anonymous):

looks good to me

OpenStudy (anonymous):

oh you need the upper limit right?

OpenStudy (fanduekisses):

yes! ^_^

OpenStudy (anonymous):

\[7290=10\times 3^{n-1}\] solve for \(n\) via \[279=3^{n-1}\] then just guess

OpenStudy (anonymous):

find a power of 3 that gives \(729\)

OpenStudy (fanduekisses):

ohhhhh 9

OpenStudy (anonymous):

oops typo there \[729=3^{n-1}\]

OpenStudy (anonymous):

no i don't think so

OpenStudy (anonymous):

\(3^8=6561\) too big try a smaller one

OpenStudy (fanduekisses):

the bases have to be the same right?

OpenStudy (anonymous):

you are thinking too hard use a calculator \[3^2=9\\ 3^3=27\\ 3^4=81\\ 3^5=...\] keep going until you get it, it will be soon

OpenStudy (fanduekisses):

yeah 3^6

OpenStudy (fanduekisses):

that's why the upper limit is 7

OpenStudy (anonymous):

ok so that makes your upper limit 7 i guess

OpenStudy (fanduekisses):

thanks! :)

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