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Why both Wolfram Alpha and Wolfram Cloud don't simplify below BBP type sum, which I came up with?

Posted 1 year ago

Why both Wolfram Alpha and Wolfram Cloud don't simplify below BBP type sum, which I came up with,

Sum((1/81)^(k+1)*(9/(2*k+1)+1/(2*k+2)),k = 0 .. infinity)

to

2*log(3) - 3*log(2)
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And also https://www.dcode.fr/summation-calculator does not produce the desired final result

Attachment

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http://drhuang.com/science/mathematics/software/
doesn't produce the final result either

With Mathematica I get simplification with FullSimplify, but not with Simplify alone.

POSTED BY: Gianluca Gorni

Thanks, Dear Gianluca!

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