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In this lesson, you will learn what a series is in math and how they compare to sequences. A series is the sum of the terms of a sequence. We have already discussed some special sequences such as the arithmetic sequence and geometric sequence. We now extend this idea and discuss the arithmetic and geometric series, infinite series, finite series, and more. We also spend a great deal of time introducing the sigma notation for summation, which is how we actually write the series down when solving problems..