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The lazy caterer's sequence (green) and other OEIS sequences in Bernoulli's triangle. As the third column of Bernoulli's triangle (k = 2) is a triangular number plus one, it forms the lazy caterer's sequence for n cuts, where n ≥ 2. The sequence can be alternatively derived from the sum of up to the first 3 terms of each row of Pascal's ...
The first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively. A geometric progression, also known as a geometric sequence, is a mathematical sequence of non-zero numbers where each term after the first is found by multiplying ...
Rorschach (Walter Joseph Kovacs) is a fictional antihero and one of the protagonists in the graphic novel limited series Watchmen, published by DC Comics in 1986. Rorschach was created by writer Alan Moore with artist Dave Gibbons; as with most of the main characters in the series, he was an analogue for a Charlton Comics character, in this case Steve Ditko's the Question.
Fibonacci sequence. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes ...
In mathematics, an infinite sequence of numbers is called constant-recursive if it satisfies an equation of the form. for all , where are constants. The equation is called a linear recurrence relation . The concept is also known as a linear recurrence sequence, linear-recursive sequence, linear-recurrent sequence, or a C-finite sequence.
In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression . Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms. As a third equivalent characterization, it is an infinite sequence of the form.
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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