Talk:Sum of a series: Difference between revisions

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My $0.02 worth. The task is actually to find the 'Partial Sum' of the sequence 1/k**2 between limits, which may be called a Finite Series. The Sum of a sequence (Series) is the sum over all values of an infinite sequence, and obviously can not be calculated just by adding them all up in a loop. --[[User:Nigel Galloway|Nigel Galloway]] 12:40, 23 November 2012 (UTC)
 
==summing backwards==
 
Has anyone experimented with summing the series ''backwards''? That is, the least significant fractions first?
 
With REXX, summing the smallest fractions first yields a ''very slightly'' larger value, but only in the last few digits (3 or 4).
 
With 60, 80, or 100 digits of precision (or more), it seemed insignificant to me, almost like noise digits. -- [[User:Gerard Schildberger|Gerard Schildberger]] 19:39, 25 November 2012 (UTC)