1 + 2 + 4 + 8 + ⋯ 1 + 2 + 4 + 8 + ⋯ In mathematics, 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, which is the limit of the series using the 2-adic metric. The partial sums of are since these diverge to infinity, so does the series.
How Many Miles to Babylon? How Many Miles to Babylon? "How Many Miles to Babylon" is an English language nursery rhyme. It has a Roud Folk Song Index number of 8148. The accepted modern lyrics are: <poem>How many miles to Babylon? Three score miles and ten. Can I get there by candle-light? Yes, and back again.. If your heels are nimble and your toes are light, You may get there by candle-light.</poem> A longer Scottish version has the lyrics: <poem>King and Queen of Cantelon, How many miles to Babylon? Eight and eight, and other eight. Will I get there by candle-light? If your horse be