If -1,-2,-6,-24,120 is arithmetic or geometric
The given sequence is -1, -2, -6, -24, 120.
To determine if this sequence is arithmetic or geometric, we need to check the differences or ratios between consecutive terms.
Difference between terms:
-2 - (-1) = -2 + 1 = -1
-6 - (-2) = -6 + 2 = -4
-24 - (-6) = -24 + 6 = -18
120 - (-24) = 120 + 24 = 144
Based on the difference between consecutive terms, we can see that it is not constant, so the given sequence is not arithmetic.
Ratio between terms:
-2 / (-1) = 2
-6 / (-2) = 3
-24 / (-6) = 4
120 / (-24) = -5
Based on the ratio between consecutive terms, we can see that it is not constant either, so the given sequence is not geometric.
Therefore, the sequence -1, -2, -6, -24, 120 is neither arithmetic nor geometric.
In order to determine whether the sequence -1, -2, -6, -24, 120 is arithmetic or geometric, we need to look for a common difference or a common ratio between the terms.
First, we will check if there is a common difference between the terms.
The difference between each term can be found by subtracting the previous term from the current term:
-2 - (-1) = -1
-6 - (-2) = -4
-24 - (-6) = -18
120 - (-24) = 144
As you can see, there is no constant difference between each term. Therefore, the sequence is not arithmetic.
Next, we will check if there is a common ratio between the terms.
The ratio between each term can be found by dividing the current term by the previous term:
-2 / -1 = 2
-6 / -2 = 3
-24 / -6 = 4
120 / -24 = -5
As you can see, there is no constant ratio between each term. Therefore, the sequence is not geometric either.
In conclusion, the sequence -1, -2, -6, -24, 120 is neither arithmetic nor geometric.