The exponential function for the sequence in which the explicit formula for geometric sequence is f(n)=525(20)^n-1, is f(n)=(525/20)(20)ⁿ.
What is geometric sequence?
Geometric sequence is the 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)=525(20)^n-1[/tex]
Compare it with above equation, we get,
[tex]a=525\\r=20[/tex]
The form of exponential function is,
[tex]f(n)=\dfrac{a}{r}(r)^n[/tex]
Put the values,
[tex]f(n)=\dfrac{525}{20}(20)^n[/tex]
Thus, the exponential function for the sequence in which the explicit formula for geometric sequence is f(n)=525(20)^n-1, is f(n)=(525/20)(20)ⁿ.
Learn more about the geometric sequence here;
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