Sequences & series
related topic: Number theory 
Bernoulli numbers and the Pascal triangle Bernoulli numbers and the Pascal triangle 
Binomial coeffients pdf file 
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 
Convergence acceleration of series 
Convergence of series 
Convergence tests for infinite series 
Convergent series a series is convergent if and only if it's sequence of partial sums is convergent 
Exponential series Exponential series 
Factorials factorials 
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 
Fibonacci numbers and the natural logarithmic base, e the number e is the base of Natural logarithms 
Harmonic series 
Infinite series infinite series 
Infinite series infinite series, pdf file 
Infinite series an infinite series is a series which is infinite 
Introduction to series 
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 
Pascal's Triangle 
Pascal's
Triangle and Its Patterns 
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) 
Power series 
Series
and their sums pdf file 
Sequences & series 
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 
Taylor and Maclaurin 
Taylor and Maclaurin polynomials Taylor and Maclaurin polynomials 
Taylor Polynomials 
Taylor
series 
Taylor Series 
Taylor series Taylor series 
Taylor series Taylor series 
Taylor Series
Approximations 
Taylor's theorem 
Triangle Geometry
and Jacobsthal Numbers Triangle Geometry and Jacobsthal Numbers,
pdf file 
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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