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Summation question

  1. May 15, 2010 #1
    [tex]\sum_{n=0}^{\infty} \frac{2^{n+1}(n+1)t^n}{(n+2)!}=\sum_{n=0}^{\infty} \frac{2^{n}nt^{n-1}}{(n+1)!}[/tex]

    How are the above summation equal?
  2. jcsd
  3. May 15, 2010 #2


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    Since [itex]\sum_{n=0}^\infty a_n=a_{0}+\sum_{n=0}^\infty a_{n+1}[/itex], and [itex]a_0[/itex] happens to be zero.
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