Sequences & series 
related topic: Number theory |
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Bernoulli numbers and the Pascal triangle Bernoulli numbers and the Pascal triangle |
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Binomial coeffients pdf file |
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Binomial
series Binomial series, pdf file |
| Binomial
theorem pdf file |
| Continued
fractions site devoted to continued fractions |
| Continued
fractions continued fraction, Fibonacci, golden section, golden mean, golden ratio, Phi, phi, divine proportion, formula for e, jigsaw puzzles,
gcd, hcf, fraction, fractions, integer, list, greatest common divisor |
| Continued
fractions pdf file |
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Convergence acceleration of series |
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Convergence of series |
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Convergence tests for infinite series |
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Convergent series a series is convergent if and only if it's sequence of partial sums is convergent |
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Exponential series Exponential series |
| Factorials factorials |
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Fibonacci numbers Fibonacci numbers (named after the 13th Century
mathematician, Leonardo of Pisa, also called Leonardo Fibonacci or just
Fibonacci) are the elements of the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13,
21, 34, 55, 89, 144, ... |
| Fibonacci
numbers and the golden section The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, ... , the golden section numbers are ± 0·61803
39887... and ± 1·61803 39887... |
| Fibonacci
numbers and nature Fibonacci, golden section, golden mean, golden ratio, nature, science, botany, phyllotaxis, plants, petals, flowers, seeds, seedheads, art, rabbits, bees, honeybees |
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Fibonacci numbers and the natural logarithmic base, e the number e is the base of Natural logarithms |
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Harmonic series |
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Infinite series infinite series |
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Infinite series infinite series, pdf file |
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Infinite series an infinite series is a series which is infinite |
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Introduction to series |
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Number patterns in Pascal's triangle |
| Pascal's
triangle Fibonacci numbers, Lucas numbers, Golden Section, Pascal Triangle, Titius Bode Law, Solar system, magic numbers, Tetrahedral numbers |
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Pascal's Triangle |
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Pascal's
Triangle and Its Patterns |
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Pascal's triangle and related triangles |
| Patterns
investigate the number patterns that occur throughout maths, 1 / 891 = 0.001122334455667789001122334455 |
| Polynomial sweep
the aim of the tool is to visually illustrate the relation between the coefficients of a polynomial and the geometric properties of this
polynomial (its curve and its roots) |
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Power series |
| Series
and their sums pdf file |
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Sequences & series |
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Sequences & series
sequences & series, Arithmetic & geometric sequences and series,
Convergence of an infinite series, Limits of sequences, Pascal's triangle &
Binomial expansion, Sigma notation |
| Sequences & series
a sequence is a set of numbers, called terms, arranged in some particular order, an arithmetic sequence is a sequence with the
difference between two consecutive terms constant. The difference is called the common difference, a geometric sequence is a sequence with the
ratio between two consecutive terms constant. This ratio is called the common ratio |
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Taylor and Maclaurin |
| Taylor and Maclaurin polynomials Taylor and Maclaurin polynomials |
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Taylor Polynomials |
| Taylor
series |
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Taylor Series |
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Taylor series Taylor series |
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Taylor series Taylor series |
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Taylor Series
Approximations |
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Taylor's theorem |
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Triangle Geometry
and Jacobsthal Numbers Triangle Geometry and Jacobsthal Numbers,
pdf file |
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Trigonometric infinite series trigonometric functions can be expanded in power series, which facilitates approximations of the functions in extreme
cases. The angle x must be in radians |
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Last updated on:
2011-01-02
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