Question

find the missing value of x in the arithmetic sequence below.
x, 13, 19, 25, 31
skill code: 1301001

Explanation:

Step1: Find the common difference

In an arithmetic sequence, the common difference \(d\) is the difference between consecutive terms. Let's calculate \(d\) using the given terms. For example, \(19 - 13 = 6\), \(25 - 19 = 6\), \(31 - 25 = 6\). So the common difference \(d = 6\).

Step2: Find the value of \(x\)

In an arithmetic sequence, the previous term is the current term minus the common difference. So to find \(x\), we subtract the common difference from the second term (13). That is \(x = 13 - d\). Since \(d = 6\), we have \(x = 13 - 6 = 7\).

Answer:

\(7\)