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

2. What is the recursive definition for the sequence 0, 5, 10, 15, 20...-example-1
User Less
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1 Answer

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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}

User Reut
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