Tell whether the sequence with the terms a_3=21,a_5=27,a_12=48 is arithmetic

Josie Kennedy 2022-11-20 Answered
Tell whether the sequence with the terms a 3 = 21 , a 5 = 27 , a 12 = 48 is arithmetic
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Answers (1)

takwerkyo0
Answered 2022-11-21 Author has 17 answers
In an arithmetic series we can find common difference between two terms a m and a n by using formula d = a n - a m n - m , if common difference is same throughout, we can say this is an arithmetic sequence.
Here we can get three values of d
1. a 5 - a 3 5 - 3 = 27 - 21 2 = 6 2 = 3
2. a 12 - a 5 12 - 5 = 48 - 27 7 = 21 7 = 3 and
3. a 12 - a 3 12 - 3 = 48 - 21 9 = 27 3 = 3
As we get d as constantly same, it is an arithmetic series.
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