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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 ...
Every prime number p divides a Fibonacci number that can be determined by the value of p modulo 5. If p is congruent to 1 or 4 modulo 5, then p divides F p−1, and if p is congruent to 2 or 3 modulo 5, then, p divides F p+1. The remaining case is that p = 5, and in this case p divides F p.
1,458: 1 + 4 + 5 + 8 = 18, so it is divisible by 3 and the last digit is even, hence the number is divisible by 6. Sum the ones digit, 4 times the 10s digit, 4 times the 100s digit, 4 times the 1000s digit, etc. If the result is divisible by 6, so is the original number. (Works because.
Some sequences have alternate names: 4n+1 are Pythagorean primes, 4n+3 are the integer Gaussian primes, and 6n+5 are the Eisenstein primes (with 2 omitted). The classes 10 n + d ( d = 1, 3, 7, 9) are primes ending in the decimal digit d .
The Bell Model 67 design was designated the X-16. A full-scale mock-up was completed and one aircraft was partially completed. It was designed as a high altitude long-range reconnaissance aircraft. The X-16 design was breaking new ground with its design. Its wing was long 114 ft 10 in (35.00 m) with a high (11.9) aspect ratio. The structure was ...
Division by zero. The reciprocal function y = 1 x. As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case.
1973 – Skylab program: NASA launches Skylab 4 with a crew of three astronauts from Cape Canaveral, Florida for an 84-day mission. [7] 1973 – U.S. President Richard Nixon signs the Trans-Alaska Pipeline Authorization Act into law, authorizing the construction of the Alaska Pipeline. [8] 1974 – The Arecibo message is broadcast from Puerto Rico.
Bell X-5. The Bell X-5 was the first aircraft capable of changing the sweep of its wings in flight. It was inspired by the untested wartime P.1101 design of the German Messerschmitt company. In a further development of the German design, which could only have its wing sweepback angle adjusted on the ground, the Bell engineers devised a system ...