High Quality Content by WIKIPEDIA articles! In mathematics, 1 + 2 + 4 + 8 + … is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2. As a series of real numbers it diverges to infinity, so in the usual sense it has no sum. In a much broader sense, the series is associated with another value besides ?, namely -1. In the history and education of mathematics, 1 + 2 + 4 + 8 + … is the canonical example of a divergent geometric series with positive terms. Many results and arguments pertaining to the series have analogies with other examples such as 2 + 6 + 18 + 54 + ….

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