graph the set of points. which model is most appropriate for the set? (–2, 10), (–1,1), (1, 1), (2, 10) quadratic exponential li
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2 answers:
<h2>Answer</h2>
quadratic
<h2>Explanation</h2>When you graph the set of points (picture 1), you realize that the first and fourth points have the same y-coordinate and the x-coordinate of the fourth point is the x-coordinate of the first point multiplied by -1. The same also applies for the second and third points. This is the typical behavior of a quadratic graph. Remember that the quadratic function is always symmetric about a line, so every point will have a reflection about that line. Since (2, 10 ) is a reflection of the point (-2, 10) about the y-axis and the same can be said of (1, 1) and (-1, 1), we can conclude that our model is quadratic.
You can rule out a linear model because no straight line pass through (or near) all points. You can also rule out an exponential model because the function is decreasing and then increasing; exponential models either grow (increase) or decay.
As bonus, the equation of the quadratic graph that model the situation is:
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Answer:
Option A -
Step-by-step explanation:
Given : For the sequence
To find : Identify the values of following?
Solution :
The nth term of the sequence is
Substitute n=0,1,2 and 3
When n=0,
When n=1,
When n=2,
When n=3,
Therefore, The value is
So, Option A is correct.
I'm going to assume you meant to write fractions (because if are all non-negative integers, the series would clearly diverge), so that
and so on.
a. If the pattern continues as above, we would have the general term
b. Note that we can write as
The series diverges by comparison to the divergent series