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.
Wait a Minim! The U.S. cast included Sarah Atkinson, Kendrew Lascelles, Michel Martel, April Olrich, Nigel Pegram, Andrew Tracey, Paul Tracey, and Dana Valery. It was directed by Leon Gluckman and choreographed by Frank Staff and Kendrew Lascelles. Scenic design was by Gluckman and Frank Rembach, costume design by Heather Macdonald-Rouse, and lighting design by Rembach and Gluckman. Guitar, drums and other instruments were played by Andrew Tracey, Paul Tracey and Nigel Pegram, and trumpet by Kendrew Lascelles. Other members of the cast played percussion instruments. London recording Broadway recording South Africa recording Wait a Minim! Wait a Minim! (1962-68) was a musical