This video will show how to write the recursive formula of a given arithmetic sequence and how to determine the next term given the previous term. For example if the common difference is 5 then each term is the previous term plus 5. So we must define what the first term is.
So we must define what the first term is.
The recursive formula for an arithmetic sequence is an an-1 d. For a sequence a 1 a 2 a 3 a n a recursive formula is a formula that requires the computation of all previous terms in order to find the value of a n. 1 2 3 4 Formula. 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.