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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

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

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

Guest Nov 5, 2017
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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.

Guest Nov 6, 2017

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