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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 ...
Zone 8 uses four 2-digit codes (81, 82, 84, 86) and four sets of 3-digit codes (80x, 85x, 87x, 88x) to serve East Asia, South Asia and special services. 83x and 89x are unallocated. Zone 9 uses seven 2-digit codes (90–95, 98) and three sets of 3-digit codes (96x, 97x, 99x) to serve the Middle East , West Asia , Central Asia , parts of South ...
Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.
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The Australian Green team next faced off against Great Britain; where Kyrgios recorded his first-ever win over Andy Murray (in straight sets) and also won the doubles, claiming a 2–1 win over the British team. Following this, he went on to win the Hopman Cup alongside Gavrilova, defeating Ukraine in the final – marking Kyrgios' first title ...
The name "Latin square" was inspired by mathematical papers by Leonhard Euler (1707–1783), who used Latin characters as symbols, [2] but any set of symbols can be used: in the above example, the alphabetic sequence A, B, C can be replaced by the integer sequence 1, 2, 3. Euler began the general theory of Latin squares.
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