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what is the recursive formula in the sequence. Recursive sequences are sometimes called a difference equations. In this the common ratio can be seen easily and can be used to create the recursive formula quickly.
Below are several examples of recursive sequences. And it can be written as. Then a recursive formula for this sequence will be needed to compute all the previous terms and find the value of t n.
A recursive formula is a formula that requires the computation of all previous terms in order to find the value of a n.
A n a n-1 common difference a 1 first term. First term k - h-1 common difference 3. A 2 2a 1 121. The recursive se- quence in Example 1 is called a first-order difference equation because andepends on just the preceding term an1 whereas the Fibonacci sequence is a second-order difference equation because Fndepends on the two preceding terms Fn1and Fn2.