4. Which explains why the sequence 216, 12,
The sequence is geometric because it decreases by a factor of 6.
, ... is arithmetic or geometric.
The sequence is arithmetic because it decreases by a factor of 6. The sequence is geometric because it decreases by a factor of .
The sequence is arithmetic because it decreases by a factor of .
AAAaannndd the bot gets it wrong yet again!
216/6 = 36, not 12 ...
It seems there might be some confusion in your question. In your given sequence 216, 12, ..., it is not clear whether the sequence is arithmetic or geometric.
To determine if a sequence is arithmetic or geometric, we need to look at the differences or ratios between the terms.
Arithmetic sequence: In an arithmetic sequence, the difference between consecutive terms remains constant.
Geometric sequence: In a geometric sequence, the ratio between consecutive terms remains constant.
To identify the pattern in the sequence, we can calculate the differences or ratios between the terms.
Let's calculate the differences between the terms:
12 - 216 = -204
Since the difference between the terms is not constant, the sequence is not arithmetic.
Now let's calculate the ratios between the terms:
12 / 216 ≈ 0.0556
Since the ratio between the terms is not constant, the sequence is not geometric either.
Therefore, based on the provided information, we cannot determine whether the sequence is arithmetic or geometric.
To determine whether the sequence 216, 12, ... is arithmetic or geometric, we need to analyze the pattern of the sequence.
For an arithmetic sequence, the difference between consecutive terms is constant. In other words, each term is obtained by adding (or subtracting) a fixed value to the previous term.
For a geometric sequence, each term is obtained by multiplying (or dividing) a fixed value to the previous term. In other words, the ratio between consecutive terms is constant.
Let's examine the given sequence: 216, 12, ...
To determine if it is arithmetic, we will check if there is a constant difference between the terms. We can subtract consecutive terms to see if the difference remains the same.
12 - 216 = -204
Since the difference between the terms is not constant, the sequence is not arithmetic.
Now, let's check if the sequence is geometric by examining the ratio between consecutive terms. We can divide consecutive terms to see if the ratio is constant.
12 / 216 = 1/18
Since the ratio between consecutive terms is 1/18, which is a constant value, we can conclude that the sequence is geometric.
Therefore, the correct answer is that the given sequence 216, 12, ... is geometric.