Value of A given S = 1 + 1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 + 1/6^2 + ... = (pi^2)/6

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DevyHeavy

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Oct 28, 2017
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I think this is just a weirdly worded problem but here it is: If given S = 1 + 1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 + 1/6^2 + ... = (pi^2)/6, please find the value A. I don't know where to begin on solving this problem. Is it asking for me to find a sequence that explains the given? Thanks for any help.
 
mmm4444bot said:
Have they defined the meaning of symbol A?

What topic is your class currently studying?
Click to expand...

No, they have not defined it. We are on infinite series and sequences.

Here is the previous question: Please determine whether the series A = 1 - 1/2^2 + 1/3^2 - 1/4^2 + 1/5^2 - 1/6^2 + ... converges or diverges. I found that to converge, is that correct also?
 
DevyHeavy said:
No, they have not defined it. We are on infinite series and sequences.

Here is the previous question: Please determine whether the series A = 1 - 1/2^2 + 1/3^2 - 1/4^2 + 1/5^2 - 1/6^2 + ... converges or diverges. I found that to converge, is that correct also?
Click to expand...
Knowing that - can you calculate S - A (as a series)?
 
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