Can it be done - easily?

*To*: mathgroup at smc.vnet.net*Subject*: [mg13211] Can it be done - easily?*From*: "Barry Culhane" <barryc at schaffner.com>*Date*: Mon, 13 Jul 1998 07:42:59 -0400*Organization*: Schaffner Ltd.*Sender*: owner-wri-mathgroup at wolfram.com

Myself and two workmates are software developers. One guy wanted a formula to calculate a result for the following equation... Z = sum of X/Y where X is a fixed number, and Y ranges from A-B in fixed steps... i.e... X=10000 ; Y=100,200,300...1000 i.e... Z= 10000/100 + 10000/200 + ... 10000/1000 = 292.896 He and I tried to figure out a simple formula to calculate it, but couldn't. The third guy said it was *not* *possible* to derive a formula - we think he's wrong, but can't prove it. MathCad can solve it in the blink of an eye, even if the value of Y ranges from 1 to 1e6 in steps of 1 !!! Can anyone come up with a simple formula to give a reasonably accurate result? It is too slow to actually divide X by Y for each value of Y as there may be 1000 or even 100,000 values of Y. Thanks in advance... > Barry Culhane > Schaffner Ltd, Limerick, IRELAND