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www.mathwarehouse.com/recursive-sequences/how-to-solve...

Recursive sequences often cause students a lot of confusion. Before going into depth about the steps to solve recursive sequences, let's do a step-by-step examination of 2 example problems. After that, we'll look at what happened and generalize the steps.

www.wikihow.com/Solve-Recurrence-Relations

How to Solve Recurrence Relations. In trying to find a formula for some mathematical sequence, a common intermediate step is to find the nth term, not as a function of n, but in terms of earlier terms of the sequence. For example, while...

Learn how to find recursive formulas for arithmetic sequences. For example, find the recursive formula of 3, 5, 7,...

www.purplemath.com/modules/nextnumb3.htm

While recursive sequences are easy to understand, they are difficult to deal with, in that, in order to get, say, the thirty-nineth term in this sequence, you would first have to find terms one through thirty-eight. There isn't a formula into which you could plug n = 39 and get the answer.

www.ms.uky.edu/~droyster/ma114F16/RecursiveSequences.pdf

1.1. LIMITS OF RECURSIVE SEQUENCES 5 Now,if anC1 Dg.an/,then if a1 Da and a is a ﬁxed point, it follows that a2 Dg.a1/ D g.a/ Da, a3 Dg.a2/ Dg.a/ Da, and so on.That is, a ﬁxed point satisﬁes the equation a Dg.a/: We will use this representation to ﬁnd ﬁxed points.

mathbitsnotebook.com/Algebra2/Sequences/SSRefreshRecursive...

Certain sequences (not all) can be defined (expressed) in a "recursive" form. In a recursive formula, each term is defined as a function of its preceding term(s). [Each term is found by doing something to the term(s) immediately in front of that term.]

mathworld.wolfram.com/RecursiveSequence.html

A recursive sequence {f(n)}_n, also known as a recurrence sequence, is a sequence of numbers f(n) indexed by an integer n and generated by solving a recurrence equation. The terms of a recursive sequences can be denoted symbolically in a number of different notations, such as f_n, f(n), or f[n], where f is a symbol representing the sequence.