Answered

What is an explicit formula for the geometric sequence 64,16,4,1,... where the first term
should be f(1)
[Choose two answers]

A. f(n)=64(1/4)n-1
B. f(n)=16(1/4)n-1
C. f(n)=64(1/4)n
D. f(n)=16(1/4)n-2

Answer :

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

f(n) = f(1) [tex](r)^{n-1}[/tex]

where f(1) is the first term and r the common ratio

Here f(1) = 64 and r = [tex]\frac{f(2)}{f(1)}[/tex] = [tex]\frac{16}{64}[/tex] = [tex]\frac{1}{4}[/tex] , then

f(n) = 64 [tex](\frac{1}{4}) ^{n-1}[/tex] → A

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