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)=-2(n-1)
Work Step by Step
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)=-2(n-1)
Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 0 and the value of d is -2 as it was derived from the recursive formula and also from the sequence as the value of the terms decreases by 2 as you move forward.
