Sum
 Usage
• Sum[f, {i,  }] evaluates the sum  .
• Sum[f, {i,  ,  }] starts with i =  . Sum[f, {i,  ,  , di}] uses steps di.
• Sum[f, {i,  ,  }, {j,  ,  }, ... ] evaluates the multiple sum  .
Notes
• Sum[f, {i,  }] can be entered as  . •  can be entered as  sum or \ [Sum]. • Sum[f, {i,  ,  }] can be entered as  . • The limits should be underscripts and overscripts of  in normal input, and subscripts and superscripts when embedded in other text. • Sum evaluates its arguments in a non-standard way (see Section A.4.2). • Sum uses the standard Mathematica iteration specification. • The iteration variable i is treated as local. • In multiple sums, the range of the outermost variable is given first. • The limits of summation need not be numbers. They can be Infinity or symbolic expressions. • If a sum cannot be carried out explicitly by adding up a finite number of terms, Sum will attempt to find a symbolic result. In this case, f is first evaluated symbolically. • Sum can do essentially all sums that are given in standard books of tables. • New in Version 1; modified in 3.
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