The exponential function for the sequence in which the explicit formula for the geometric sequence is f(n)=1250(11)^n-1, is f(n)=(1250/11)(11)ⁿ.
What is a geometric sequence?
A geometric sequence is a sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The explicit formula geometric sequence is given as,
[tex]f(n)=a(r)^{n-1}[/tex]
Here, a is the first term and r is the common ratio.
The explicit formula for a certain geometric sequence is,
[tex]f(n)=1250(11)^{n-1}[/tex]
Compare it with the above equation, we get,
a = 1250
r = 20
The form of the exponential function is,
[tex]f(n) = \dfrac{a}{r}(r)^n[/tex]
Put the values,
[tex]f(n)=\dfrac{1250}{11}(11)^n[/tex]
Thus, the exponential function for the sequence in which the explicit formula for the geometric sequence is f(n)=1250(11)^n-1, is f(n)=1250/11)(11)ⁿ.
Learn more about the geometric sequence here;
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