Answer
Recursive formula: $a_{1}=0$ ,$a_{n}=a_{n-1}+6$
Explicit formula:$a_{n}=6(n-1)$
Work Step by Step
The sequence is $0,6,12,18,24$.
The first term is $0$ and the common difference is $6$.
$\text{Explicit formula}$:
The explicit formula is $a_{n}=a_{1}+(n-1)d$ where $a_1$=first term and $d$=common difference. Substitute the values of the common difference and the first term to obtain:
$a_{n}=a_{1}+(n-1)d$
$a_{n}=0+(n-1)6$
$a_{n}=6(n-1)$
$\text{Recursive formula}$:
The recursive formula is $a_{n}$=$a_{n-1}+d$.
Substitute the value of $d$ to obtain:
$a_{n}=a_{n-1}+6$, where $a_1=0$
