Answer
1. The second term is 16
2. The third term is 19
3. The fourth term is 22
4. The explicit formula is A(n)=13+3(n-1)
Work Step by Step
A(1)=13
A(n)=A(n-1)+3
1. The second term is
A(2)=A(2-1) +3 = A(1)+3 = 13 +3= 16
2. The third term is
A(3)=A(3-1)+3= A(2)+3 = 16+3 = 19
3. The fourth term is
A(4)=A(4-1)+3 = A(3)+3 = 19+3 = 22
4. The explicit formula is A(n)=13+3(n-1)
Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 13 and the value of d is 3 as it was derived from the recursive formula and also from the sequence.