Which sequence is modeled by the graph below?
1 answer:
This question comes with a set of answer choices:
a) An = 4 (-5)^ (n-1)
b) An = 4 ((1/5) ^ (n -1)
c) An = 0.4 (5)^ (n - 1)
d) An = (1/5) (4)^ (n -1)
The data are:
number of term term
1 4
2 0.8
3 0.16
n 4 (1/5)^ (n-1)
Given that the first term is 4 you can disscard the options c) and d) because their first terms are 0.4 and 1/5.
Given that the option a) alternates positive and negative terms you can discard it too.
Now test the option b) An = 4 (1/5) ^ (n-1)
n An = 4(1/5) ^ (n - 1)
1 A1 = 4(1/5) ^0 = 4
2 A2 = 4(1/5)^1 = 4/5 = 0.8
3 A3 = 4(1/5)^2 = 4/25 = 0.16
So, the sequence An = 4(1/5)^(n-1) models the graph.
Answer: An = 4 (1/5)^ (n-1)
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