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The explicit formula for a certain geometric sequence is f(n) := :1,250(11)ⁿ⁻¹ . What is the exponential function for the sequence? Write your answer in the form shown.

User Shaniquia
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Final answer:

The explicit formula for the geometric sequence is already given in exponential form as f(n) := 1,250(11)^(n-1), which serves directly as the exponential function for the sequence.

Step-by-step explanation:

The explicit formula given for a certain geometric sequence is f(n) := 1,250(11)n-1. The exponential function for this sequence has the same base form and simply reiterates the given formula. In a general sense, an exponential function would be represented as f(x)=abx, where a is the initial value, b is the base of the exponential growth, and x is the exponent representing the step or interval. In this specific case, the exponential function for the sequence keeps the base 11 and the coefficient 1,250, producing f(n) = 1,250 × 11n-1 when presented as an exponential function.

User Pew Labs
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