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Difficulty: 2 of 5 Latest: Permuted sums (in Just Math)
A set contains four numbers. The six pairwise sums of distinct elements of the set, in no particular order, are 189, 320, 287, 264, x, and y. Find the greatest possible value of: x + y.
(No Solution Yet, 4 Comments) Submitted on 2020-11-30 by Danish Ahmed Khan   
Difficulty: 3 of 5 Bonus: Multiply together, get Euler? (in Calculus) Rating: 2.00
Sp = p (1 + Sp-1) for p>=2 and S1=1.

Determine, whether or not:

Limit   (1+ 1/S1)(1+ 1/S2)(1+ 1/S3).....(1+ 1/Sp)= e
p-> infinity

where e is the Euler's Number.


(Solution Posted, 1 Comments) Submitted on 2007-04-24 by K Sengupta   
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