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- The '''Fibonacci sequence''' is a [[sequence]] of [[integer]]s in which the first and second terms are both equal to 1 a ...is the simplest nontrivial example of a [[linear recursion]] with constant coefficients. There is also an explicit formula [[#Binet's formula|below]].7 KB (1,111 words) - 13:57, 24 June 2024
- Together, the recursive formula for <math>P(k)</math> is === Solution 1.1 (Recursive Formula) ===19 KB (3,128 words) - 20:38, 23 July 2024
- Let <math>F_n</math> represent the <math>n</math>th number in the Fibonacci sequence. Therefore, The above uses the similarity between the Fibonacci recursion|recursive definition, <math>F_{n+2} - F_{n+1} - F_n = 0</math>, and the polynomial <m10 KB (1,595 words) - 15:30, 24 August 2024
- ...losed form formula used to find the <math>n</math>th term of the Fibonacci sequence. ...on is <math>F_n = F_{n-1} + F_{n-2}.</math> This is a constant coefficient linear homogenous recurrence relation. We also know that <math>F_0 = 0</math> and6 KB (955 words) - 01:11, 5 February 2025