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Sum up the following sequence and solve for "a". Thanks for any help.

1/1+1/(2^14)+1/(3^14)+1/(4^14)+1/(5^14)+..........+1/(n^14)=a/9,121,612.50

 Nov 5, 2017
 #1
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would you mind if I ask where you found this problem?

 Nov 5, 2017
 #2
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Given to us by our Math teacher. Why?

 Nov 5, 2017
 #3
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This is the "Harmonic Series" raised to an EVEN power, in this case, 14. All these series were extensively studied and proven by the great Swiss mathematician, Leonhard Euler, some 250 years ago!. So, "a" in this sequence is simply π^14.

 Nov 6, 2017

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