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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 ...
The Treaty on the Final Settlement with Respect to Germany was signed in Moscow on 12 September 1990, [4]: 363 and paved the way for German reunification on 3 October 1990. [9] Under the terms of the treaty, the Four Powers renounced all rights they formerly held in Germany, including those regarding the city of Berlin.
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 ...
1,3-Propane sultone is the organosulfur compound with the formula (CH 2) 3 SO 3. It is a cyclic sulfonate ester, a class of compounds called sultones . [ 2 ] [ 3 ] It is a readily melting colorless solid.
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 idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
Infobox references. 1,2,3,4-Tetraphenylnaphthalene is a polycyclic aromatic hydrocarbon commonly prepared in the undergraduate teaching laboratory as an introduction to the Diels-Alder reaction, in this case between benzyne, which acts as the dienophile, (generated in situ) and tetraphenylcyclopentadienone, which acts as the diene. [3]
The No. 1 healthiest flour. Oat flour is a whole-grain flour containing all three parts of the grain — the germ, endosperm and bran. Whole grains naturally contain vitamins and minerals, fiber ...