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if 1/1^4+1/2^4+1/3^4......=pie^4/90
then find answer for 1/1^4+1/3^4+1/5^4 .....

gunjan , 10 Years ago
Grade
anser 1 Answers
Sunil Raikwar

Last Activity: 10 Years ago

1/1^4+1/2^4+1/3^4+1/4^4+1/5^4......=pie^4/90
(1/1^4+1/3^4+1/5^4 ....)+(1/2^4+1/4^4+1/6^4.................=pie^4/90
(1/1^4+1/3^4+1/5^4 ....)+1/2^4(1/1^4+1/2^4+1/3^4.................=pie^4/90
(1/1^4+1/3^4+1/5^4 ....)+1/16.pie^4/90=pie^4/90
(1/1^4+1/3^4+1/5^4 ....)=pie^4/90(1-1/16)=pie^4/90(15/16)=pie^4/96



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