Summation

Series Sum Operator Properties and Identities

Series Sum Operator Properties and Identities
  1. What are the properties of summation?
  2. What are the rules of summation?
  3. What is the sum operator?

What are the properties of summation?

If n = 0, the value of the summation is defined to be 0. The value of a finite series is always well defined, and its terms can be added in any order. If the limit does not exist, the series diverges; otherwise, it converges.

What are the rules of summation?

The summation sign, S, instructs us to sum the elements of a sequence. A typical element of the sequence which is being summed appears to the right of the summation sign. The variable of summation is represented by an index which is placed beneath the summation sign. The index is often represented by i.

What is the sum operator?

The summation operator is represented by the symbol Σ (capital sigma) and represents the operation of summing a sequence of expressions together. The operator is used in math to represent the sum of sequences and series.

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