Mathematics
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OpenStudy (kanwal32):
A question of sequence and series pls ans
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OpenStudy (anonymous):
where is it?
OpenStudy (kanwal32):
I am writing down the equation
OpenStudy (kanwal32):
if \[1/1^{2} + 1/2^{2} +1/3^{2}.......upto{\infty}, then \frac{ 1}{ 2^{2}}+\frac{ 1}{ 4^{2}}\]
OpenStudy (anonymous):
\[\sum_{n=1}^{\infty}\frac{ 1 }{ n^2 }\]
OpenStudy (anonymous):
u want to calculate this?
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OpenStudy (kanwal32):
upto infinity value is \[\pi^{2}/6\]
OpenStudy (kanwal32):
I want to calculate valueof\[\sum_{n=1}^{\infty}1/(2n)^2\]
OpenStudy (kanwal32):
@ganeshie8 help
OpenStudy (anonymous):
\[\frac{ \pi^2 }{ 24 }?\]
OpenStudy (kanwal32):
no
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OpenStudy (kanwal32):
\[\pi^2/8\]
OpenStudy (anonymous):
\[\frac{ 1 }{ 1^2 }+\frac{ 1 }{ 2^2 }+\frac{ 1 }{ 3^2 }+...=\frac{ \pi^2 }{ 6 }\]
OpenStudy (anonymous):
is this is the info given?
OpenStudy (kanwal32):
yes
OpenStudy (anonymous):
\[\frac{ 1 }{ 2^2 }+\frac{ 1 }{ 4^2 }+\frac{ 1 }{ 6^2 }+....\]
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OpenStudy (anonymous):
we have to find this?
OpenStudy (kanwal32):
yes
OpenStudy (anonymous):
then the answer should be pi^2/24
OpenStudy (anonymous):
\[\frac{ 1 }{ 4 }(1+\frac{ 1 }{ 2^2 }+\frac{ 1 }{ 3^2 }+......)\]
OpenStudy (anonymous):
\[\frac{ 1 }{ 4 }\frac{ \pi^2 }{ 6 }\]
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OpenStudy (anonymous):
i think u want \[\frac{ 1 }{ 1^2 }+\frac{ 1 }{ 3^2 }+\frac{ 1 }{ 5^2 }+....\]
OpenStudy (kanwal32):
yes can u find \[\frac{ 1}{ 1^2}+\frac{1}{3^2} +\frac{1}{5^2}\].......
OpenStudy (anonymous):
then that would be\[\frac{ \pi^2 }{ 6 }-\frac{ \pi^2 }{ 24 }=\frac{ \pi^2 }{ 8 }\]
OpenStudy (kanwal32):
ohhh thx
OpenStudy (anonymous):
@kanwal32 please be clear with your question
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OpenStudy (kanwal32):
ok
OpenStudy (anonymous):
:)