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1/2 − 1/4 + 1/8 − 1/16 + ⋯. Demonstration that 1 2 − 1 4 + 1 8 − 1 16 + ⋯ = 1 3. In mathematics, the infinite series 1/2 − 1/4 + 1/8 − 1/16 + ⋯ is a simple example of an alternating series that converges absolutely . It is a geometric series whose first term is 1 2 and whose common ratio is − 1 2, so its sum is.
List of minor planets: 1–1000. The following is a partial list of minor planets, running from minor-planet number 1 through 1000, inclusive. The primary data for this and other partial lists is based on JPL 's "Small-Body Orbital Elements" [1] and data available from the Minor Planet Center. [2] Critical list information is also provided by ...
This is the case for the fractions 1/2, 1/3, 2/5, 3/8, and 5/13. The ratio between successive Fibonacci numbers tends to the golden ratio φ = (1 + √5)/2. When a circle is divided into two arcs whose lengths are in the ratio 1:φ, the angle formed by the smaller arc is the golden angle, which is 1/φ 2 × 360° ≈ 137.5°. Because of this ...
Pale Blue Dot Seen from about 6 billion kilometers (3.7 billion miles), Earth appears as a tiny dot within deep space: the blueish-white speck almost halfway up the rightmost band of light. Artist Voyager 1 Year 1990 Type Astrophotography Location Interstellar space Owner NASA Pale Blue Dot is a photograph of Earth taken on February 14, 1990, by the Voyager 1 space probe from an unprecedented ...
LUCERNE, Switzerland (Reuters) -U.S. Vice President Kamala Harris pledged America's unwavering support for Ukraine and announced more than $1.5 billion in aid for the country's energy sector and ...
The left and right surround speakers in the bottom line create the surround sound effect. 5.1 surround sound ("five-point one") is the common name for surround sound audio systems. 5.1 is the most commonly used layout in home theatres. [1] It uses five full bandwidth channels and one low-frequency effects channel (the "point one"). [2]
The planet's density is the second highest in the Solar System at 5.427 g/cm 3, only slightly less than Earth's density of 5.515 g/cm 3. If the effect of gravitational compression were to be factored out from both planets, the materials of which Mercury is made would be denser than those of Earth, with an uncompressed density of 5.3 g/cm 3 ...