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Which function can be used to model the graphed geometric sequence?

a) f(x + 1) = f(x)
b) f(x + 1) = f(x)
c) f(x)
d) f(x + 1) = f(x)

1 Answer

3 votes

Final answer:

The correct function to represent a geometric sequence is an exponential function typically expressed as f(x) = ar^x, not one of the provided options.

Step-by-step explanation:

The student is asking which function can be used to model a graphed geometric sequence. A geometric sequence has a constant ratio between consecutive terms. This means that each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio. Therefore, the function that models a geometric sequence must involve exponentiation or multiplication by a constant to achieve the scaling effect inherent to geometric progressions.

Looking at the given options, the correct representation of a function for a geometric sequence is not listed. Typically, a geometric sequence can be represented by an exponential function like f(x) = ar^x, where a is the first term and r is the common ratio.

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