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

he298c 2020-10-18 Answered
Determine whether the given sequence is arithmetic. If so, then find the common difference. 4,9,14,19,24,...
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bahaistag
Answered 2020-10-19 Author has 101 answers
From the above sequence, it can be observed that a1=4,a2=9,a3=14,a4=19,a5=24. Subtract the two consecutive numbers of the sequence as shown below: a2a1=94
=5
a3a2=149
=5
a4a3=1914
=5
a5a4=2419
=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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