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Mathematics 12 Online
OpenStudy (kanwal32):

A question of sequence and series pls ans

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?

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

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):

\[\frac{ 1 }{ 2^2 }+\frac{ 1 }{ 4^2 }+\frac{ 1 }{ 6^2 }+....\]

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):

\[\frac{ 1 }{ 4 }\frac{ \pi^2 }{ 6 }\]

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

OpenStudy (kanwal32):

ok

OpenStudy (anonymous):

:)

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