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Instead, you can use a simple formula for you to solve for an arbitrary term of the sequence. The formula is:. This Fibonacci calculator makes use of this formula to generate arbitrary terms in an instant.
For a Fibonacci sequence, you can also find arbitrary terms using different starters. For this, there is a generalized formula to use for solving the nth term.
The formula to use is:. There is an excellent example which shows the power of math in Fibonacci numbers. The Fibonacci sequence was first discovered by Leonardo Fibonacci, a mathematician from Italy back in the 13th century.
This is a special sequence because it has a number of noteworthy properties. This way, each term can be expressed by this equation:. Unlike in an arithmetic sequence , you need to know at least two consecutive terms to figure out the rest of the sequence.
The first fifteen terms of the Fibonacci sequence are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, , , Fortunately, calculating the n-th term of a sequence does not require you to calculate all of the preceding terms.
There exists a simple formula that allows you to find an arbitrary term of the sequence:. You can also use the Fibonacci sequence calculator to find an arbitrary term of a sequence with different starters.
Simply open the advanced mode and set two numbers for the first and second term of the sequence. Generate Superperfect Number Sequence.
Create a list of superperfect numbers. Partition a Number. Find all partitions of the given integer. Generate Partition Number Sequence.
Create a list of Partition function numbers. Generate Arithmetic Progression. Create an arithmetic sequence of numbers. Generate Geometric Progression.
Create a geometric sequence of numbers. Generate Polynomial Progression. Create a polynomial sequence of numbers. Generate Natural Number Sequence.
Create a list of natural numbers. Generate Powers of Two. Create a list of numbers of powers of two.
Generate Powers of Ten. Create a list of numbers of powers of ten. Generate a Sparse Matrix. Generate a matrix with very few non-zero elements.
Multiply a Matrix by a Scalar. Multiply all matrix elements by a number. Check if a Matrix is Singular. Determine if a matrix is degenerate.
Find the Co-factor Matrix. Given a matrix, find its cofactor matrix. Find the Adjugate Matrix. Given a matrix, find its adjunct.
LU Factor a Matrix. Decompose a matrix into LU factors. Find Matrix Eigenvalues. Find eigenvalues of a matrix.
Prettify a Matrix. Beautify a matrix by neatly aligning all its columns. Reformat a Matrix. Convert matrix in one format to another format.
Draw a Fibonacci Spiral. Generate a Fibonacci spiral curve. Draw Fibonacci Rectangles. Generate a drawing of Fibonacci rectangles. Draw a Fibonacci Seed Head.
Generate a Fibonacci flower head. Draw a Padovan Fractal. Generate a Padovan equiliteral triangles fractal. Draw a Apollonian Gasket.
Generate an Apollonian gasket fractal. Draw a Mandelbrot Fractal. Generate a Mandelbrot fractal. Draw a Julia Fractal. Draw a Rauzy Fractal. Draw Blancmange Fractal Curve.
Generate a Blancmange fractal. Draw Weierstrass Function. Generate a Weierstrass fractal. Draw Minkowski Question-mark Curve. Generate a Minkowski Question-mark fractal.
Draw Thomae's Function. Generate a Thomae's function also known as popcorn or raindrop function. Draw Dirichlet's Function. Generate a Dirichlet's function.
Draw a Gabriel's Horn. Draw a geometric figure with infinite surface area and finite volume. Convert Words to Numbers. Convert numbers as English text to actual digits.
Convert Numbers to Words. Convert numbers to written English text. Convert Decimal Notation to Scientific Notation.
Convert numbers written in decimal form to scientific form. Convert Scientific Notation to Decimal Notation.
Convert numbers written in scientific form to decimal form. Round Numbers Up. Apply ceil operation to numbers.
Round Numbers Down. Apply floor operation to numbers. Analyze Numbers. Count how many times each number appears. Rewrite a Number as a Sum.
Create a sum that adds up to the given number. Generate a Multiplication Table. Flip a Coin. Toss a coin and get head or tails.
Roll a Dice. Throw a dice and get a number on its side. Never miss an update. Notifications We'll let you know when we add this tool.
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Quickly find all factors of the given integer. Find Prime Factors. Quickly decompose integers into their prime factors. Test if a Number is a Prime.
Quickly find out if the given integer is a prime number. Test if a Number is Fibonacci. Quickly check if the given number is a Fibonacci number.
Generate Pi Digits. Generate e Digits. Quickly calculate Euler constant's digits to arbitrary precision. Generate Golden Ratio Digits.
Calculate a Factorial. Quickly calculate factorials. Generate Pascal's Triangle. Quickly create a triangluar array of binomial coefficients.
Generate Random Matrices. Quickly create a matrix with random elements. Generate an Identity Matrix. Quickly create a unit matrix with ones along the diagonal.
Transpose a Matrix. Quickly find the transpose of a matrix. Invert a Matrix. Quickly find the inverse of a matrix. Find the Determinant of a Matrix.
Quickly calculate the determinant of a matrix. Add Matrices. Quickly find the sum of two or more matrices. Subtract Matrices. Find the difference of two or more matrices.
Multiply Matrices. Quickly find the product of matrices. Generate a Hilbert Curve. Quickly draw a Hilbert space-filling curve. Generate a Heighway Triangle.
Quickly draw a Heighway triangle fractal. Generate a Dragon Curve. Quickly draw a Harter-Heighway space-filling dragon fractal. Generate a Twindragon Curve.
Quickly draw a Davis-Knuth dragon fractal. Generate a Terdragon Curve. Quickly draw a triple dragon fractal. Generate a Quaddragon Curve.
Quickly draw a quaddragon fractal. Generate a Hexadragon Fractal. Quickly draw a hexdragon curve. Generate a Peano Curve.
Quickly draw a Peano space-filling fractal. Generate a Moore Curve. Quickly draw a Moore space-filling curve. Generate a Gosper Curve. Quickly draw a Peano-Gosper space-filling curve.
Generate a Sierpinski Arrowhead Curve. Quickly draw a Sierpinski arrowhead fractal curve. Generate a Sierpinski Triangle.
Quickly draw a Sierpinski sieve fractal. Generate a Sierpinski Curve. Quickly draw a Sierpinski closed plane fractal curve. Generate a Sierpinski Carpet.
Quickly draw a Sierpinski carpet fractal. Generate a Sierpinski Maze. Quickly draw a Sierpinski maze fractal. Generate a Sierpinski Square.
Quickly draw a Sierpinski square fractal. Generate a Sierpinski Pentagon. Quickly draw a Sierpinski pentaflake fractal. Generate a Sierpinski Hexagon.
Quickly draw a Sierpinski hexaflake fractal. Generate a Sierpinski Polyflake. Quickly draw a Sierpinski n-gon fractal. Generate a Koch Star.
Quickly draw a Koch island fractal curve. Generate a Koch Anti-snowflake. Quickly draw a Koch antisnowflake fractal.
Generate a Koch Triangle. Quickly draw a Koch triangle fractal. Generate a Koch Polyflake. Quickly draw a Koch n-gon fractal. Generate a Quadratic Koch Island.
Quickly draw a quadratic Koch flake fractal. Generate a Cesaro Fractal. Quickly draw a Cesaro fractal.
Generate a Cesaro Polyflake. Quickly draw a Cesaro n-gon fractal. Generate a Triflake Curve. Quickly draw a triflake fractal. Generate a Quadratic Cross Fractal.
Quickly draw a quadric cross fractal. Generate a Levy C Curve.
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