Identify the sequence...
3,888, 216, 12, 2/3...
a. arithmetic
b. geometric
c. neither
d. both
I got d, both. Because, you can divide 18 and 1/18. Is that right? Thanks anyone who answers. I'd very much appreciate that. :-]
Sorry, I have to know right away, I'm taking a test that times me. Thanks!
Looks like (d) to me
no constant difference
no constant ratio
Oops. I meant (c)
To identify the sequence, we need to determine if it is an arithmetic or geometric sequence.
An arithmetic sequence is a sequence in which the difference between consecutive terms is constant. In other words, if we subtract any term from the next term, we will always get the same value.
A geometric sequence, on the other hand, is a sequence in which each term is obtained by multiplying the preceding term by a constant value called the common ratio. Similarly, if we divide any term by the previous term, the result should always be the same.
Let's examine the given sequence: 3, 888, 216, 12, 2/3.
First, let's check if the sequence is an arithmetic sequence. We subtract the numbers consecutively:
888 - 3 = 885,
216 - 888 = -672,
12 - 216 = -204,
2/3 - 12 = -10 and 2/3,
As we can see, the differences are not constant. Therefore, the sequence is not arithmetic.
Now, let's check if the sequence is a geometric sequence. We divide the numbers consecutively:
888 ÷ 3 = 296,
216 ÷ 888 ≈ 0.243,
12 ÷ 216 ≈ 0.056,
(2/3) ÷ 12 ≈ 0.0556,
Again, the ratios obtained are not the same throughout the sequence. Hence, the sequence is not geometric either.
Therefore, the correct answer is c) neither. The given sequence does not follow a specific arithmetic or geometric pattern.