Arithmetic Series

Summing or Adding the terms of an arithmetic sequence creates what is called a series.

Sequence: 2, 4, 6, 8, 10, 12

Series: 2 + 4 + 6 + 8 + 10 + 12

Formulas to find the nth Partial Sum of an Arithmetic Sequence 

EXAMPLE 1: Let's see if we can figure out where these formulas come from.

EXAMPLE 2: Determine the sum of the arithmetic series 3 + 8 + 11 + ... + 73  .

EXAMPLE 3: Determine the sum of the arithmetic series