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This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip.
4 3 2 1 is a novel by Paul Auster published in January 2017. At the time of its publication, it was the first new Auster novel to have appeared in seven years. [1] [2] Auster worked on the book seven days a week for three-and-a-half-years and wrote it in long hand. At 866 pages, the novel is much longer than any of his previous works. [3] In September 2017 it was shortlisted for the 2017 Man ...
3-2-1 Contact is an American science educational television show produced by the Children's Television Workshop (CTW, now known as Sesame Workshop). It aired on PBS from 1980 to 1988 and later ran on Noggin (a joint venture between the CTW and Nickelodeon) from 1999 to 2003.
In order to transform the series 1 + 2 + 3 + 4 + ⋯ into 1 − 2 + 3 − 4 + ⋯, one can subtract 4 from the second term, 8 from the fourth term, 12 from the sixth term, and so on.
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle. A "side-based" right triangle is one in which the lengths of the sides form ratios of ...
It can therefore provide the sum of various convergent infinite series, such as Explicit or numerically efficient formulae exist for at integer arguments, all of which have real values, including this example. This article lists these formulae, together with tables of values. It also includes derivatives and some series composed of the zeta function at integer arguments.
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