The graph that represents a geometric sequence is (A)
- (0, 100)
- (1, 50)
- (2, 25)
- (3, 12.5)
- (4, 6.25)
What is Geometric sequence ?
Geometric sequence
- A geometric sequence is a sequence that has a common ratio
- The sequence is said to be geometric if each of the term of the sequence is obtained by multiplying the preceding term of the sequence by a fixed constant.
- This fixed constant is known as a common ratio and is denoted by r.
The common ratio of a geometric sequence is calculated as:
[tex]r=\frac{y_{2} }{y_{1} }[/tex]
Using the above rule, we have:
[tex]r = \frac{100}{50} = \frac{50}{25} =\frac{25}{12.5} =\frac{12.5}{6.25}[/tex]
[tex]r= 2=2=2=2[/tex]
The above represents option A , and it has a common ratio of 2
Hence, the Graph that represents a Geometric Sequence is (A)
(0, 100) , (1, 50) , (2, 25) , (3, 12.5) , (4, 6.25)
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