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Finite series

  1. Feb 12, 2014 #1
    I have a finite sum of the form:

    n=1Nexp(an+b√(n))

    Is there any trick to evalute this sum to a closed form expression? e.g. like when a finite geometric series is evaluated in closed form.
     
  2. jcsd
  3. Feb 12, 2014 #2

    haruspex

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    Not here.
    You can often get a clue by treating a sum as an integral. In this case you can break it into a difference of two integrals. The first corresponds to ∑n=1Nexp(an), which is simply the sum of a geometric series, but the second becomes constant*∫eax2.dx.
     
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