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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 ...
Atlantic. Elektra. EastWest. Musical artist. Website. rayj .com. William Ray Norwood Jr. (born January 17, 1981), [1] known professionally as Ray J, is an American R&B singer, songwriter, television presenter, and actor. Born in McComb, Mississippi and raised in Carson, California, he is the younger brother of singer and actress Brandy. [3]
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
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.
The Brazil versus Germany football match (also known by its score as 7–1) that took place on 8 July 2014 at the Mineirão stadium in Belo Horizonte was the first of two semi-final matches of the 2014 FIFA World Cup . Both Brazil and Germany reached the semi-finals with an undefeated record in the competition, with the Brazilians' quarter ...
4-Phenyl-1,2,4-triazoline-3,5-dione (PTAD) is an azodicarbonyl compound. PTAD is one of the strongest dienophiles and reacts rapidly with dienes in Diels-Alder reactions. [1] The most prominent use of PTAD was the first synthesis of prismane in 1973. [2]
1,2,4-Triazole is a planar molecule. The C-N and N-N distances fall into a narrow range 136 - 132 picometers, consistent with the aromaticity. [ 2 ] Although two tautomers can be envisioned, only one exists practically speaking. 1,2,4-Triazole is amphoteric, being susceptible to both N-protonation and deprotonation in aqueous solution.
3-Amino-1,2,4-triazole ( 3-AT) is a heterocyclic organic compound that consists of 1,2,4-triazole with an amino group as a substituent . 3-AT is a competitive inhibitor of the product of the HIS3 gene, imidazoleglycerol-phosphate dehydratase. [ 3][ 4] Imidazoleglycerol-phosphate dehydratase is an enzyme catalyzing the sixth step of histidine ...