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:

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