Summation Notation

Summation Notation

Example 1

Find the value of the following summation:
SumEx1-1
Step 1. Determine if the sequence is arithmetic or geometric.

The function representing the sequence is linear. Therefore the summation represents an arithmetic series.

Step 2. Determine a1 and an. For this example, the first term is a1and the last term is a47.

SumEx1-2 and SumEx1-3

Step 3. Determine the number of pairs.

SumEx1-4

Step 4. To find the series, substitute and solve.

SumEx1-5

SumEx1-6

SumEx1-7