Mathematics
11 Online
OpenStudy (anonymous):
Evaluate the series:
Enter only a numerical answer.
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OpenStudy (anonymous):
hold up im getting the problem
OpenStudy (anonymous):
\[\sum_{k=1}^{20}k^{2}\]
OpenStudy (anonymous):
@terenzreignz do u know it?
terenzreignz (terenzreignz):
Well, we have a formula for this sort of thing...
\[\huge \sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}{6}\]
Plug in, and you're good to go :)
OpenStudy (anonymous):
i got it wrong
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OpenStudy (anonymous):
:(
terenzreignz (terenzreignz):
That's a pity... what answer did you enter?
OpenStudy (anonymous):
2087
terenzreignz (terenzreignz):
How?
OpenStudy (anonymous):
i entered 20 for n
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terenzreignz (terenzreignz):
Okay... with you so far...
\[\huge \frac{\color{red}{20}(\color{red}{20}+1)[2(\color{red}{20})+1]}{6}\]
terenzreignz (terenzreignz):
Simplifying would yield...
\[\huge \frac{\color{red}{20}\times\color{green}{21}\times\color{blue}{41}}{6}\]
OpenStudy (anonymous):
yes
terenzreignz (terenzreignz):
Well, that's strange, I get a different answer, not 2087
OpenStudy (anonymous):
lol
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terenzreignz (terenzreignz):
Either your calculator is busted... (hopefully not) or you have fallen victim to human error... we all do...
OpenStudy (anonymous):
2870
terenzreignz (terenzreignz):
There. Right and proper :)
OpenStudy (anonymous):
lol
terenzreignz (terenzreignz):
I'm still wondering how you ended up with 2087...
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OpenStudy (anonymous):
lol still wrong though
terenzreignz (terenzreignz):
You'll get another chance :)
Best of luck :D
OpenStudy (anonymous):
wat?
terenzreignz (terenzreignz):
Never mind. Just avoid carelessness next time :)
OpenStudy (anonymous):
how careless i still have a chance to get it right
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terenzreignz (terenzreignz):
Then grab that chance and redeem yourself :)
OpenStudy (anonymous):
how idk how to do the problem thats why im on here
terenzreignz (terenzreignz):
I just told you how to do that (specific) problem?
OpenStudy (anonymous):
no u didnt and u had the same answer as me
terenzreignz (terenzreignz):
I got 2870...
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OpenStudy (anonymous):
ya and your wrong
terenzreignz (terenzreignz):
So, I assure you,
\[\LARGE \sum_{k=1}^{20}k^2 =2870\]
But then again, there's the chance you entered your question incorrectly.
OpenStudy (anonymous):
no its exactly how it looks
OpenStudy (anonymous):
@UnkleRhaukus can u confirm this
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OpenStudy (anonymous):
@ajprincess can u confirm this
terenzreignz (terenzreignz):
I had google confirm it, by typing out the sum... manually
1+4+9+16.... etc up to 400
OpenStudy (ajprincess):
yup i too am getting 2870:)
OpenStudy (anonymous):
thanks
OpenStudy (ajprincess):
welcome:)
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OpenStudy (unklerhaukus):
\[\sum\limits_{k=1}^{20}k^2=2870\checkmark\]