This page allows you to quickly generate the starting elements of the classic Fibonacci series.
You may choose between a numbered list, or an unformatted sequence of results.
Both will have exactly the same entries / results. Note that the numbers get very large, very quickly - for example No.1000 has 278 digits.
The Fibonacci Series was named after the Italian mathematician, Leonardo Fibonacci, who was one of the first to study it, in the 13th century.
It is an 'arithmetic-sequence' of numbers, starting with zero and one, and where each number is the sum of the two preceding ones, typically starting with 0 and 1 (e.g., 0, 1, 1, 2, 3, 5, 8, 13...). This seemingly simple mathematical pattern appears in various natural phenomena, such as the branching of trees, the arrangement of leaves on a stem, the uncurling of a fern, and the spirals of a seashell, often reflecting optimal packing or growth patterns. Beyond nature, it has applications in computer algorithms (like the Fibonacci search technique), financial market analysis, and even in art and architecture for its aesthetically pleasing proportions.
For a more generic generator, visit the: Arithmetic Series Generator in the Maths section of this site.
It is defined as an increasing series of numbers, where each member is equal to the sum of the preceding two numbers.
The Fibonacci Series shows up naturally everywhere in nature including flowers, pinecones, hurricanes, and even huge spiral galaxies in space.
The Fibonacci Series doesn't just stop at nature - it also appears in architecture & graphic design, where it is referred to as 'the Golden Ratio'.
Click on any of the links at the top of the page to reveal (or hide) more information about this calculator.
Tap / click on two of the three abbreviations above (as appropriate) and enter the value known, select the appropriate units, then click the 'Calculate' button for instant results.