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Mathematics 10 Online
OpenStudy (anonymous):

My question is attached.

OpenStudy (anonymous):

OpenStudy (anonymous):

Question D

OpenStudy (anonymous):

did you show question b) c ) try to use them !

OpenStudy (anonymous):

I have tried.

OpenStudy (anonymous):

ok what make a problem to you in the expression given in c) !

OpenStudy (anonymous):

don't forget ! you're trying to find \[\sum_{1}^{n} i^2\] so all you have to know is \[\sum_{1}^{n}i=n(n+1)/2\]

OpenStudy (anonymous):

did you get it .?!

OpenStudy (anonymous):

\[3\sum_{1}^{n} i^{2}+3\sum_{n}^{1}i+n=(n+1)^{3}-1\]

OpenStudy (anonymous):

yeaah ! and as I told you before \[\sum_{1}^{n}i=n(n+1)/2\]

OpenStudy (anonymous):

\[3\sum_{1}^{n}i ^{2}+3n(n+1)/2+n=n ^{3}+3n ^{2}+3n\]

OpenStudy (anonymous):

This is where I get stuck.

OpenStudy (anonymous):

put 3n(n+1)/2 in the other side ! (ithink you know how to do it ? right :) :) )

OpenStudy (anonymous):

oh sugar.

OpenStudy (anonymous):

yeaaah !

OpenStudy (anonymous):

I just got it

OpenStudy (anonymous):

That's my problem, PATIENCE

OpenStudy (anonymous):

you're really smart !---this problem means a lot to me :) :) !

OpenStudy (anonymous):

you're really smart !---this problem means a lot to me :) :) !

OpenStudy (anonymous):

is that a bug or did you copy it ?!

OpenStudy (anonymous):

I copied,and actually I think I spoke to soon looool.

OpenStudy (anonymous):

what do you get after you subtract from both sides?

OpenStudy (anonymous):

something very messy my friend

OpenStudy (anonymous):

can I multiply by 2?

OpenStudy (anonymous):

ok ! \[3\sum_{1}^{n}i^2 = n^3+3n(n+1)-3n(n+1)/2=n^3+3n(n+1)/2=n(3(n+1)/2+n^2)\] ANd yes you can !

OpenStudy (anonymous):

LHS=n^3+n?????

OpenStudy (anonymous):

I factorized by n !

OpenStudy (anonymous):

sorry ! i got to go !

OpenStudy (anonymous):

thanks for your help.

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