Detemine the sequence as arithmetic, geometric, both or neither. 16,8,4,2,...
http://home.windstream.net/okrebs/page131.html
16 / 8 = 2
8 / 4 = 2
4 / 2 = 2
What you think?
I believe its arithmetic, cause each time the number gets smaller its being divided by 2. Tell me what U think.
I think you need to review what makes a sequence arithmetic or geometric ...
To determine if the given sequence 16, 8, 4, 2,... is arithmetic, geometric, both, or neither, we need to examine the pattern of the sequence.
1. Arithmetic Sequence:
In an arithmetic sequence, each term is obtained by adding or subtracting a constant value from the previous term.
Let's check if the given sequence follows an arithmetic pattern:
8 - 16 = -8
4 - 8 = -4
2 - 4 = -2
In this case, the common difference (-8, -4, -2) is not constant, so the sequence is not arithmetic.
2. Geometric Sequence:
In a geometric sequence, each term is obtained by multiplying or dividing a constant value, called the common ratio, to the previous term.
Let's check if the given sequence follows a geometric pattern:
8 / 16 = 0.5
4 / 8 = 0.5
2 / 4 = 0.5
In this case, the common ratio (0.5) is constant, so the sequence is geometric.
Since the given sequence is not arithmetic but is geometric, we can conclude that the sequence is "geometric."