1 + 2 + 4 + 8 + ⋯ that and , but the underlying proofs demand careful thinking about the interpretation of endless sums. It is also possible to view this series as convergent in a number system different from the real numbers, namely, the 2-adic numbers. As a series of 2-adic numbers this series converges to the same sum, −1, as was derived above by analytic continuation. 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.
Quavers shown in 1996 (animated by Aardman), which featured Quentin trying to catch a Quaver that had blown out of his bedroom window, ending with the slogan "They're floaty light!" Quavers Quavers are a British snack food, originally made by Smiths, and now produced by Walkers.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