is this a arithmetic, or geometric sequence -96,-48,-24,-12,......
To determine whether the given sequence is arithmetic or geometric, we need to check the pattern of the numbers.
In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio.
Let's find the difference between consecutive terms in the given sequence:
-48 - (-96) = 48
-24 - (-48) = 24
-12 - (-24) = 12
We notice that the difference between consecutive terms is decreasing, which means it is not a constant difference. Therefore, the sequence is not an arithmetic sequence.
Now, let's find the ratio between consecutive terms in the given sequence:
-48 / (-96) = 0.5
-24 / (-48) = 0.5
-12 / (-24) = 0.5
We notice that the ratio between consecutive terms is constant (0.5), which means it is a geometric sequence.
Therefore, the given sequence -96, -48, -24, -12, ... is a geometric sequence with a common ratio of 0.5.