Answer
1. The second term is -2
2. The third term is -4
3. The fourth term is -6
4. The explicit formula is $A(n)=(n-1)(-2)$
Work Step by Step
We are given:
$A(1)=0$
$A(n)=A(n-1)-2$
1. The second term is
$A(2)=A(2-1) -2 = A(1)-2 =0-2=-2$
2. The third term is
$A(3)=A(3-1)-2= A(2)-2 = -2 -2= -4$
3. The fourth term is
$A(4)=A(4-1)-2 = A(3)-2 =-4 -2= -6$
4. The explicit formula is $A(n)=0+(n-1)(-2)$