Answer:
A) 80(One-fourth) Superscript x minus 1
Step-by-step explanation:
Used the table function on my calculator. 1/4 of 80 is 20 and 1/4 of 20 is 5. f(1) = 80 f(2) = 20 f(3) = 5 and so on. Hope that made sense!
Answer:
f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
given the points (1, 80 ) , (2, 20 ) , (3, 5 )
then
x | 1 2 3
y | 80 20 5
with a₁ = 80 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{80}[/tex] = [tex]\frac{1}{4}[/tex] , then
f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]
