It does not contains the terms such as f(n-1) and f(n-2). The closed-form solution does not depend upon the previous terms. The calculator computes the closed-form solution of the recursive equation. Get the free 'Sequence solver' widget for your website, blog, Wordpress, Blogger, or iGoogle. The term f(n) represents the current term and f(n-1) and f(n-2) represent the previous two terms of the Fibonocci sequence. Use this to find out what numbers will continue in the sequence. It can be written as a recursive relation as follows: This formula allows us to simply plug in the number of the term we are interested in, and we will get the value of that term. In the Fibonocci sequence, the later term f(n) depends upon the sum of the previous terms f(n-1) and f(n-2). How explicit formulas work Here is an explicit formula of the sequence 3, 5, 7, a ( n) 3 + 2 ( n 1) In the formula, n is any term number and a ( n) is the n th term. In the Fibonocci sequence, the first two terms are specified as follows: In a recursive relation, it is necessary to specify the first term to establish a recursive sequence.įor example, the Fibonocci sequence is a recursive sequence given as: It is an equation in which the value of the later term depends upon the previous term.Ī recursive relation is used to determine a sequence by placing the first term in the equation. The Recursive Sequence Calculator is used to compute the closed form of a recursive relation.Ī recursive relation contains both the previous term f(n-1) and the later term f(n) of a particular sequence. Because a geometric sequence is an exponential function whose domain is the set of positive integers, and the common ratio is the base of the function, we can write explicit formulas that allow us to find particular terms. Recursive Sequence Calculator + Online Solver With Free Steps Using Explicit Formulas for Geometric Sequences.
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