What is the explicit rule for this geometric sequence? 4,4/5,4/25,4/125,…
2 answers:
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<h3>Answer: Choice A) y = 2</h3>
How I got that answer:
The degrees of both the numerator and denominator polynomial are both 2
Degree of 10x^2 is 2
Degree of 5x^2+1 is 2
Because the degrees are equal, this means we divide the leading coefficients 10 and 5 to get 10/5 = 2.
As x gets really really large, in either positive or negative direction, then y is slowly going to approach y = 2.
A graph helps confirm this. See below. I used GeoGebra to make the graph.
It looks like it actually gets to y = 2, but in reality its just getting really really close that it gives that illusion.
Answer:
Step-by-step explanation:
Since the ant travels at a constant speed, we can set up the following proportion:
, where
is the distance the ant can travel in 7 minutes.
Solving for , we get:
.