perplexus.info :: Just Math : Find these constants I

Find these constants I (Posted on 2005-11-10)

Given that

 k=∞          1           A*B-C*D
Σ    ------------------ = -------
 k=0 (3k+1)(3k+2)(3k+3)      E

where A, B, C, D and E are, in some order, the number π (pi), the square root of an integer, the natural logarithm of an integer, and two integers, find their values.

See The Solution Submitted by pcbouhid

Rating: 3.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

One leetle proviso to the solution

| Comment 10 of 11 |

Dear pcb:

Just saw this prob for the first time. Nice prob and nice, elegant solution.

Just one leetle restriction is needed: in the following solution line

(1 - x)^2

2S = INT { ----------- }dx we can only "cancel" a factor of 1-x if x/=1

1 - x^3

:-)

Posted by JayDeeKay on 2015-01-06 13:04:09

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