From the above sequence, it can be observed that \(a_1 = 4,a_2 =9,a_3 =14,a_4 =19,a_5 = 24.\)
Subtract the two consecutive numbers of the sequence as shown below:
\(a_2 - a_1 =9-4\)

\(=5\)

\(a3 - a2 =14-9\)

\(=5\)

\(a_4 - a_3 =19-14\)

\(=5\)

\(a_5 - a_4 =24-19\)

\(=5\) It can be seen that the difference between the two consecutive numbers of the sequence is 5 (a constant). Thus, the given sequence is arithmetic and the common difference is 5.

\(=5\)

\(a3 - a2 =14-9\)

\(=5\)

\(a_4 - a_3 =19-14\)

\(=5\)

\(a_5 - a_4 =24-19\)

\(=5\) It can be seen that the difference between the two consecutive numbers of the sequence is 5 (a constant). Thus, the given sequence is arithmetic and the common difference is 5.