An example of a recursive sequence is a sequence that 1 is defined by specifying the values of one or more initial terms and 2 has the property that the remaining terms satisfy a recursive formula that describes the value of a term based upon an expression in numbers, previous terms, or the index of the term. An explicit formula specifies the nth term of a sequence as an expression in n. A recursive formula specifies the nth term of a sequence as an expression in the previous term or previous couple of terms. Ben made up a recursive formula and used it to generate a sequence.

Fibonacci spiral This Fibonacci calculator is a tool for calculating the arbitrary terms of the Fibonacci sequence. Never again will you have to add the terms manually - our calculator finds the first terms for you! You can also set your own starting values of the sequence and let this calculator do all work for you.

Make sure to check out the geometric sequence calculatortoo! What is the Fibonacci sequence? The Fibonacci sequence is a sequence of numbers that follow a certain rule: This way, each term can be expressed by this equation: Unlike in an arithmetic sequenceyou 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: Formula for n-th term 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: Our Fibonacci calculator uses this formula to find arbitrary terms in a blink of an eye!

Formula for n-th term with arbitrary starters 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.

The Fibonacci calculator uses the following generalized formula for determining the n-th term:Online Algebra Calculator Many of users do not use powerful Maxima computer algebra system for systematic work, but for ad hoc algebraic calculations – equations, functions, matrixes, etc.

only. To do this job, it is not useful to download the whole application from a web site. This web site owner is mathematician Miloš Petrović.

I designed this web site and wrote all the lessons, formulas and calculators. If you want to contact me, probably have some question write me using the contact form or email me on. Given an arithmetic sequence, write its recursive formula.

Subtract any term from the subsequent term to find the common difference. State the initial term and substitute the common difference into the recursive formula for arithmetic sequences. N th term of an arithmetic or geometric sequence The main purpose of this calculator is to find expression for the n th term of a given sequence.

Also, it can identify if the sequence is arithmetic or geometric. Sep 05, · Write a recursive formula for the sequence?

Answer Questions F(x) =sqrt(x+1), with a restricted domain of [0, infinity) h(x) = x^2+3, with a domain of R Status: Resolved. Improve your math knowledge with free questions in "Convert a recursive formula to an explicit formula" and thousands of other math skills.

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Unit 2 - Recursive Sequences - CEC - Algebra 2 - Doyle