Mathematics
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OpenStudy (cherrilyn):
Write in Summation Notation:
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OpenStudy (cherrilyn):
1/9 + 1/16 + 1/25 + 1/36 + .........
I know it has something to do with a square in the denominator..
OpenStudy (anonymous):
1/n^2 , from 3-infinity
OpenStudy (anonymous):
\[\sum_{1}^{\infty}1/(n+2)^{2}\]
OpenStudy (anonymous):
\[\sum_{n=3}^{\infty} \frac{1}{n^2} \]
OpenStudy (anonymous):
yeah
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OpenStudy (cherrilyn):
which one?
OpenStudy (anonymous):
both are same
OpenStudy (cherrilyn):
oh okay thank you :)
OpenStudy (cherrilyn):
what about for 1 - 1/3 + 1/5 - 1/7 +.......
OpenStudy (anonymous):
\[\sum_{n=0}^{\infty} (-1)^n \frac{1}{2n+1}\]
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OpenStudy (cherrilyn):
and 125/9 + 625/16 + 3,125/25 + 15,625/36 . I know the bottom is n^2 but what's the top?
OpenStudy (anonymous):
the top are factgorials im fairly sure
OpenStudy (anonymous):
5!, 6! etc
OpenStudy (anonymous):
\[\sum_{n=3}^{ \infty} \frac{ (n+2)!}{n^2} \]
OpenStudy (anonymous):
wait, thats not right :|
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OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
its multiples of 5 on the top
OpenStudy (anonymous):
its powers of 5
OpenStudy (anonymous):
5^n / n^2
OpenStudy (anonymous):
thats it
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OpenStudy (anonymous):
n=3 to infinity
OpenStudy (anonymous):
\[\sum_{n=3}^{\infty} 5^n \frac{5^2}{n^2} \]
OpenStudy (anonymous):
\[\sum_{n=3}^{\infty} \frac{5^{n+2}}{n^2}\]
OpenStudy (anonymous):
ur wrong mate
OpenStudy (anonymous):
if it starts from 3 then its 5^n
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OpenStudy (anonymous):
no, thats not it :|
OpenStudy (anonymous):
yeh whatever
OpenStudy (cherrilyn):
?
OpenStudy (anonymous):
\[\sum_{n=3}^{\infty}5^{n}/n ^{2}\]
OpenStudy (anonymous):
thats ur answer
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OpenStudy (cherrilyn):
you're right ! Thanks :D Saved me
OpenStudy (anonymous):
no prob...
OpenStudy (anonymous):
hey could you look at myt problem pleaseeee