1 − 2 + 4 − 8 + ⋯ 1 − 2 + 4 − 8 + ⋯ In mathematics, is the infinite series whose terms are the successive powers of two with alternating signs. 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, so in the usual sense it has no sum. In a much broader sense, the series has a generalized sum of . Gottfried Leibniz considered the divergent alternating series as early as 1673. He argued that by subtracting either on the left or on the right, one could produce
Quavers Quavers Quavers are a British snack food, originally made by Smiths, and now produced by Walkers. Walkers, owned by PepsiCo, purchased the Quavers brand in 1997, when it became one of the Frito Lay International brand names. Quavers were launched in 1968 with the advertising slogan "you get a lovely lot of Quavers in a bag". Packaging described them as "curly potato puffs". In 2007, Walkers changed the packaging for all their snack products, which were Quavers, Wotsits, Squares, French Fries and Monster Munch. This packaging reflected the usage of Sunseed Oil, which was used in all products. The Multipack