Question

Determine whether the given sequence is arithmetic. If so, then find the common difference. 4, 9, 14, 19, 24,...

Polynomial arithmetic
ANSWERED
asked 2020-10-18
Determine whether the given sequence is arithmetic. If so, then find the common difference. \(4, 9, 14, 19, 24,...\)

Answers (1)

2020-10-19
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.
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