is the sequence 3,12,36 a geometric sequence?explain
The sequence 3,12,36 is not a sequence. Because there is no common difference nor common ratio in the term. Good luck!
http://www.mathguide.com/lessons/SequenceGeometric.html
To determine whether a sequence is geometric, we need to check if there is a common ratio between consecutive terms.
In the given sequence 3, 12, 36, let's calculate the ratios between each consecutive term:
- The ratio between the second term (12) and the first term (3) is 12/3 = 4.
- The ratio between the third term (36) and the second term (12) is 36/12 = 3.
Since the ratio between the terms is not constant, the sequence does not have a fixed common ratio. Therefore, the sequence 3, 12, 36 is not a geometric sequence.