Question

Write a recursive formula for the arithmetic sequence below. What is the

value of the 8th term?
1,5,9,13,...
a. A(n) = A(n-1) - 4; -27
C. A(n) = A(n-1)+4; 29
b. A(n) = 4A(n - 1); 29
d. A(n) = -4A(n-1); -27

Answer 1

A(n) = A(n-1)+4; 29

Explanation:

From 1 to 5 is 4

From 5 to 9 is 4

From 9 to 13 is 4

then the common difference is 4

then the recursive formula is: A(n) = A(n-1)+4

1,5,9,13 , 17,21,25,29

then the 8th term is: 29