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! Wait a Minim! Wait a Minim! (1962-68) was a musical revue conceived by Leon Gluckman, with original songs by Jeremy Taylor, and a collection of international folk music arranged by Andrew Tracey. Many authentic instruments were played to accompany dances and pantomimes satirizing the national characteristics and political and social eccentricities of many different countries. The only spoken words were when the cast was introduced, and in the South African scene where apartheid was ridiculed. The revue originated in South Africa and toured Southern Rhodesia (now Zimbabwe), and London before opening on Broadway in New York City. The show opened