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Sum Greatest And Least Roots (Posted on 2008-05-22) Difficulty: 2 of 5
Derive a formula for evaluating the following expression in terms of p and its higher powers, given that p is a positive integer.
   Σ  ([3√m] + <3√m>) 
m=1 to p3
Note: [x] is the greatest integer ≤ x, and <x> is the least integer ≥ x

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
answer | Comment 2 of 3 |
Answer: p(p+1)(3pē-3p+2)/2
When going to submit this solution after a tidious derivation,
 firefox error came. So, just submitting the answer. Will
fill it in later.

  Posted by Praneeth on 2008-05-22 18:04:48
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