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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 ...
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f-number. Diagram of decreasing apertures, that is, increasing f-numbers, in one-stop increments; each aperture has half the light-gathering area of the previous one. An f-number is a measure of the light-gathering ability of an optical system such as a camera lens. It is calculated by dividing the system's focal length by the diameter of the ...
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.
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 ...
In mathematics, 1 + 2 + 4 + 8 + ⋯ is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2. As a series of real numbers it diverges to infinity, so the sum of this series is infinity. However, it can be manipulated to yield a number of ...
Isaiah 11 is the eleventh chapter of the Book of Isaiah in the Hebrew Bible or the Old Testament of the Christian Bible. This book contains prophesies attributed to the prophet Isaiah. This chapter can be divided into two main parts, verses 1–9 and verses 11–16, with verse 10 as a connecting statement between them. [1]
11 is the second member of the second pair (5, 11) of Brown numbers. Only three such pairs of numbers and where are known; the largest pair (7, 71) satisfies . In this last pair, the factorial of 7 = 5040 is divisible by all integers less than 13, with the exception of 11. More consequentially, 5 is the fifth Heegner number, meaning that the ...