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Hold & Evaluate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg129897] Hold & Evaluate
  • From: Šerých Jakub <Serych at panska.cz>
  • Date: Sat, 23 Feb 2013 23:31:40 -0500 (EST)
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Dear mathgroup,
I would like to generate sequence in the form:

1/1.2, 2/2.3, 3/3.4, 4/4.5, etc.

It is very simple by a Table function:

Table[n/(n + 0.1 (n + 1)), {n, 1, 15}]

but as there are real numbers in denominators, Mathematica evaluates all an=
d generates something like:

{0.833333, 0.869565, 0.882353, 0.888889, 0.892857, 0.895522, etc.}

How to evaluate numerators and denominators separately and print the sequen=
ce in that "fraction like" form?

I tested:

#[[1]]/#[[2]] & /@ Table[{n, n + 0.1 (n + 1)}, {n, 1, 15}] and than used Ho=
ld[] and Evaluate[]:

Hold[Evaluate[#[[1]]]/Evaluate[#[[2]]]] & /@
 Table[{n, n + 0.1 (n + 1)}, {n, 1, 15}]

But it doesn't work as the Hold has "veto" power over any evaluation.

Thanks in advance for any idea, how to do it

Jakub



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