Answer
Recursive formula: $a_{1}=-4$, $a_{n}=a_{n-1}-4$
Explicit formula: $a_{n}=-4n$
Work Step by Step
The first term is -4 and the common difference is $-8-(-4)=-8+4=-4$.
$\text{Explicit formula}$:
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:
$a_{n}=-4+(n-1)(-4)$
$a_{n}=-4+(-4n+4)$
$a_{n}=-4n$
$Recursive formula$:
The recursive formula is $a_{n}=a_{n-1}+d$.
Substitute the value of $d$ to obtain:
$a_{n}=a_{n-1}-4$
