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In a sequence described by a function, what does the notation f(3) = 1 mean?

a. The third term in the sequence has a value of 1.
b. The common ratio of the sequence is 3.
c. The first term in the sequence has a value of 3.
d. The common difference of the sequence is 3.

1 Answer

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Final answer:

In a sequence described by a function, the notation f(3) = 1 means that the third term in the sequence is 1.

Step-by-step explanation:

In the context of sequences described by functions, the notation f(3) = 1 signifies that when the input to the function is 3, the output is 1. This often represents a term within a sequence, specifically, that the third term in the sequence has a value of 1. Therefore, the correct interpretation of this notation in the context of a sequence is option (a). The notation does not offer information about the common ratio of a geometric sequence or the common difference of an arithmetic sequence, nor does it imply that the first term of the sequence has a value of 3.

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