C
the n th term formula ( explicit formula ) for a geometric sequence is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex][tex](r)^{n-1}[/tex]
where r is the common ratio and [tex]a_{1}[/tex] the first term
here [tex]a_{1}[/tex] = 8 and r = [tex]\frac{4}{8}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]a_{n}[/tex] = 8([tex]\frac{1}{2}[/tex])^n - 1 → C
The explicit formula is a(n) = 8(1/2)ⁿ⁻¹ for the geometric sequence 8, 4, 2, 1 option (C) is correct.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
8, 4, 2, 1
The above sequence represents the geometric sequence with common ratio:
r = 4/8 = 1/2
First term a = 8
nth term:
a(n) = 8(1/2)ⁿ⁻¹
Thus, the explicit formula is a(n) = 8(1/2)ⁿ⁻¹ for the geometric sequence 8, 4, 2, 1 option (C) is correct.
Learn more about the sequence here:
brainly.com/question/21961097
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