Question

2. What is the recursive definition for the sequence 0, 5, 10, 15, 20...

Answer 1

In order to find the recursive definition for an arithmetic sequence, we can use the formula below:

`a_n=a_(n-1)+d`

Where d is the common difference.

Looking at the series, each term is 5 units more than the term before, therefore we have d = 5. Also, the first term is a1 = 0.

So the recursive definition is:

`\begin{gathered} a_n=a_(n-1)+5,\text{ }n\geq2\\ \\ a_1=0 \end{gathered}`