So A sub N is equal to A sub N minus one times A sub N minus two or another way of thinking about it. Lets take a look at the famous Fibonacci sequence to see what that means. Learning Objectives1 Define Recursive Sequences2 Reindex a recursive sequence3 Find an explicit formula given a recursive sequence4 Substitute an explici.
Learning Objectives1 Define Recursive Sequences2 Reindex a recursive sequence3 Find an explicit formula given a recursive sequence4 Substitute an explici.
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. Each number in the sequence is called a term or sometimes element or member read Sequences and Series for more details. Thanks to all of you who support me on Patreon. This sequence has a factor of 3 between each number.