Determine whether the sequence 3,12,21,30,... is geometric and if it is, what is the common ratio

Raiden Barr

Raiden Barr

Answered question

2022-10-17

Determine whether the sequence 3,12,21,30,... is geometric and if it is, what is the common ratio

Answer & Explanation

silenthunter440

silenthunter440

Beginner2022-10-18Added 19 answers

A geometric sequence is one in which the ratio of each term to its preceding term is always constant. This ratio is called common ratio.
In the series, {3,12,21,30,.............}
we have 12 3 = 4 , 21 12 = 7 4 , 30 21 = 10 9
Hence it is not a geometric sequence.
However, we have 12−3=21−12=30−21=9 and hence we have a common difference and hence it is an arithmetic sequence.

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