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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 with first term 1 4 and common ratio 1 4 ...
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, this may be expressed as. The series is related to philosophical questions considered in antiquity, particularly ...
Ranma ½: Rock-Scissors-Puzzle (Ranma ½: Ougi Jaanken) A puzzle game based on rock, paper, scissors. Hands are dropped showing the rock, paper, and scissor signs and are used to remove other hands that have the opposite sign. Its Japanese name is composed of ougi (meaning secret) and jaanken, a play on the word janken (the Japanese name for ...
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The Florida Building Code ( FBC) is a set of standards designed by the Florida Building Commission for the construction of buildings in the US state of Florida. [1] Many regulations and guidelines distributed are important benchmarks regarding hurricane protection. Miami-Dade County was the first in Florida to certify hurricane-resistant ...
1 + 1 + 1 + 1 + ⋯ is a divergent series, meaning that its sequence of partial sums does not converge to a limit in the real numbers . The sequence 1 n can be thought of as a geometric series with the common ratio 1. For some other divergent geometric series, including Grandi's series with ratio −1, and the series 1 + 2 + 4 + 8 + ⋯ with ...
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