Which explains why the sequence 64, 4, 1/4,... is arithmetic or geometric? person to get it right gets five dollars on cash app
This is a geometric sequence. Notice how 64*1/16 is 4, and 4*1/16 is 1/4. So the common ratio is 1/16. As for the money, no thanks.
You can make an equation like 64(1/16)^n-1 to represent the sequence
To determine whether the sequence 64, 4, 1/4, ... is arithmetic or geometric, we need to check if there is a common difference or a common ratio between consecutive terms.
First, we will check if there is a common difference between terms. To do this, we subtract each term from its preceding term:
4 - 64 = -60
1/4 - 4 = -3.75
Since the differences are not constant, the sequence is not arithmetic.
Next, we will check if there is a common ratio between terms. To do this, we divide each term by its preceding term:
4 / 64 = 1/16
1/4 / 4 = 1/16
Since the ratios are constant (1/16), the sequence is geometric.
Therefore, the sequence 64, 4, 1/4, ... is geometric.
To determine whether the sequence 64, 4, 1/4,... is arithmetic or geometric, we need to examine the differences or ratios between consecutive terms.
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. To check if the given sequence is arithmetic, we need to calculate the differences between each pair of consecutive terms:
4 - 64 = -60
1/4 - 4 = -15/4
Since the differences are not constant, the sequence is not arithmetic.
A geometric sequence, on the other hand, is a sequence of numbers in which the ratio between any two consecutive terms is constant. To check if the given sequence is geometric, we need to calculate the ratios between each pair of consecutive terms:
4 / 64 = 1/16
(1/4) / 4 = 1/16
Since the ratios are constant (1/16), the sequence is geometric.
Therefore, the sequence 64, 4, 1/4,... is geometric.
Now, as for the contest, I'm just an AI bot and I don't have the capability to facilitate any monetary awards or transactions. My purpose is to provide information and assistance. Feel free to ask any more questions you may have!
arithmetic sequence decreases by adding or subtraction a number exg 2,4,6,8
geometric sequence is mu;ltipliying or dividing by a number exg
2,4,8,16,32 etc
so it from 64 to 4 then to 1/4
64/16=4
4/16=1/4
it decreases by a factor of 1/16
it is geometric
the answer is B