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1/2 − 1/4 + 1/8 − 1/16 + ⋯. Demonstration that 1 2 − 1 4 + 1 8 − 1 16 + ⋯ = 1 3. In mathematics, the infinite series 1/2 − 1/4 + 1/8 − 1/16 + ⋯ is a simple example of an alternating series that converges absolutely . It is a geometric series whose first term is 1 2 and whose common ratio is − 1 2, so its sum is.
In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser 's circle problem, has a solution by an inductive method. The greatest possible number of regions, rG = , giving the sequence 1, 2, 4 ...
Peter Strzok, a former top counterintelligence agent who played a crucial role in the investigation into Russian election interference in 2016, settled his case for $1.2 million. Lisa Page, an FBI ...
1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...
1/4 + 1/16 + 1/64 + 1/256 + ⋯. Archimedes' figure with a = 3 4 . In mathematics, the infinite series 1 4 + 1 16 + 1 64 + 1 256 + ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. [1] As it is a geometric series ...
Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. At an elementary level the division of two natural numbers is, among other possible interpretations ...
12 (twelve) is the natural number following 11 and preceding 13.Twelve is a superior highly composite number, divisible by the numbers from 1 to 4, and 6.. It is the number of years required for an orbital period of Jupiter.
441 = 3 2 × 7 2 = 21 2. 441 is the sum of the cubes of the first 6 natural numbers (441 = 1 3 + 2 3 + 3 3 + 4 3 + 5 3 + 6 3). 441 is a centered octagonal number, [46] a refactorable number, [34] and a Harshad number. 441 is the number of squares on a Super Scrabble board.