Given data:
The given series is -32, -25, -18, -11,....
The commo difference of the given series is,
[tex]\begin{gathered} d=-25-(-32) \\ =-25+32 \\ =7 \end{gathered}[/tex]
The expression for the explicit formula for the given series is,
[tex]\begin{gathered} a_n=a+(n-1)d \\ =\text{ -32+(n-1)}(7) \\ =-32+7n-7 \\ =-39+7n \end{gathered}[/tex]
The expression for recursive formula is,
[tex]\begin{gathered} a_n=a_{n-1}+d \\ =\lbrack-39+7(n-1)\rbrack+7 \end{gathered}[/tex]
