Summation Notation

Find the value of the following summation:

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 a₁and a_n. For this example, the first term is a₁and the last term is a₄₇.

and

Step 3. Determine the number of pairs.

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