Chan Pollard
11/03/2023 · Elementary School
Identify whether arithmetic, geometric, harmonic or \( 1,3,9,27, \ldots \)
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Step-by-step Solution
The sequence \( 1, 3, 9, 27, \ldots \) is a geometric sequence.
In a geometric sequence, each term is obtained by multiplying the previous term by a constant factor. In this case, each term is multiplied by \( 3 \) to get the next term:
- \( 1 \times 3 = 3 \)
- \( 3 \times 3 = 9 \)
- \( 9 \times 3 = 27 \)
Thus, the common ratio is \( 3 \).
Quick Answer
The sequence is a geometric sequence with a common ratio of 3.
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