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Mathematics 19 Online
OpenStudy (anonymous):

How do you solve this? (Explain please)

OpenStudy (anonymous):

\[\sum_{n=1}^{3}\frac{ 1 }{ n ^{3} }\]

OpenStudy (anonymous):

okay so basically in this problem you have to add the values of \[(1/1^3) + (1/2^3) + (1/3^3)\]

OpenStudy (anonymous):

you see that n =1 one at the bottom of the sigma

OpenStudy (anonymous):

that means you start with 1

OpenStudy (anonymous):

Oh does the three on the top mean you end with 3?

OpenStudy (anonymous):

yes exactly, if it was say 6 you would keep adding the equations with variables up to 6

OpenStudy (anonymous):

if at the bottom it said n=3 you would start at three, its a rather hard concept to wrap your head around do you get it?

OpenStudy (anonymous):

Oh okay. So the answer would be 195/162?

OpenStudy (anonymous):

fun fact if instead of a \[\sum_{?}^{?} you see a \prod_{?}^{?} \it means multiply \]

OpenStudy (anonymous):

instead of add

OpenStudy (anonymous):

dont know havent worked it out give me a sec

OpenStudy (anonymous):

Alright

OpenStudy (anonymous):

strange i got 251/216

OpenStudy (anonymous):

Did u add 1 + 1/6 + 1/27?

OpenStudy (lynfran):

thats correct @Jdosio

OpenStudy (anonymous):

no you have to add 1+ 1/8 + 1/27

OpenStudy (anonymous):

Oh whoops! I messed up on that. Thanks!

OpenStudy (anonymous):

yep no problem :D

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