Let's begin by listing out the information given to us:
[tex]\begin{gathered} a_1=4 \\ a_2=_{}a_1-4=4-4=0_{} \\ a_3=_{}a_1-4(2)=4-8 \\ a_4=_{}a_1-4(3)=4-12=-8 \\ \\ a_n=a_1-4(n-1)_{} \\ a_{40}=4-4(40-1)=4-4(39) \\ a_{40}=4-156=-152 \\ a_{40}=-152 \end{gathered}[/tex]
Hence, option D is the correct answer
