Question

How would you define a recursive sequence that generates multiples of 5?

Answer 1

A recursive sequence is one where a previous term is used to define a term. For example,

`a_(n+1)=a^{}_n+d`

For this question, the sequence is defined as:

`\begin{gathered} a_0=5 \\ For(multiples\text{ }of\text{ }5)\colon a_(i+1)=5a_i \\ \\ \therefore a_0=5,a_(i+1)=5a_i \end{gathered}`