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

he298c

he298c

Answered question

2020-10-18

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

Answer & Explanation

bahaistag

bahaistag

Skilled2020-10-19Added 100 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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