Summation Notation

Summation Notation is a mathematical notation for finding the sum of the terms of any sequence. The mathematical symbol for summation is the Greek letter sigma, Summation1-1 . In the previous book we used the following example to denote the sum of the first five terms of a sequence: Summation1-2. The notation that describes the summation of the first term through the fifth term of a sequence is summation1-3. Therefore, Summation1-4.

The notation for the sum of n terms is Summation1-5. In summation notation, the letter n is called the index of summation . The value below the sigma represents the initial term. The value above the sigma represents the final term. an represents the explicit formula for the sequence.