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The sum of a sequence (Posted on 2004-12-14) Difficulty: 4 of 5
Find the sum of the sequence: x, 2x2, 3x3, 4x4, 5x5, ... , nxn.

  Submitted by Mohammad    
Rating: 3.4286 (7 votes)
Solution: (Hide)
Let S=1+2x+3x2+4x3+...nxn-1; the answer to this problem is S times x.

S= (1+x+x2+...+xn)'= [(1-x^n+1)/(1-x)]'= (nxn+1-(n+1)xn+1)/(1-x)2.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
answerK Sengupta2008-02-18 14:50:49
SolutionLet the record show- another non-calculus variationJayDeeKay2007-06-15 13:22:00
easyPemmadu Raghu Ramaiah2005-01-24 19:27:55
SolutionWithout calculusFederico Kereki2004-12-15 11:22:23
A non-calculus solutionRichard2004-12-15 00:41:42
all the solutions need...Charlie2004-12-14 18:35:20
re: SolutionCharlie2004-12-14 18:28:11
SolutionsolutionCharlie2004-12-14 18:08:42
SolutionSolutionOld Original Oskar!2004-12-14 17:49:25
Solutioncalculus solutionRichard2004-12-14 17:41:22
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