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1, 1/2, 1/4, 1/8, 1/16 arithmetic sequence

A) Geometric
B) Linear
C) Quadratic
D) Exponential

1 Answer

6 votes

Final answer:

The sequence given is a geometric sequence characterized by each term being half of the previous term, also described as an exponential relationship with a base of 2.

Step-by-step explanation:

The sequence 1, 1/2, 1/4, 1/8, 1/16 is an example of a geometric sequence because each term is obtained by multiplying the previous term by a common ratio. In this case, the ratio is 1/2, meaning that each term is half the previous term. This can also be defined as an exponential relationship, where the base is 2 and the exponent is decreasing by 1 in each step (in negative terms).

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