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Recursive Function Formula If a 1a 2a 3a 4a n is a set of series or a sequence. Instead it helps to be observant of the patterns exhibited by a given sequence and use the initial values to create a rule that may apply to the sequence. A recursive formula allows us to find any term of an arithmetic sequence using a function of the preceding term.
The recursive formula for an arithmetic sequence is an an-1 d.
Use a recursive formula for an arithmetic sequence. Since recursive sequences rules vary from each other it is nearly impossible to create a general pattern that applies to all recursive sequences unlike arithmetic or geometric sequences. Begin casesa 1 3leftarrowgray text the first term is 3 a n a n-12leftarrowgray text add 2 to the previous term end cases. A recursive formula allows us to find any term of an arithmetic sequence using a function of the preceding term.