Answer:
2.56
Step-by-step explanation:
I'm pretty sure, I'm sorry if its wrong
Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
Hey, here's a pic of it ! hope this helps !
p.s., photomath is a good app for algebraic answers with work, you should check it out (:
The distance travelled by the train with constant speed of r miles will be 3r.
<h3><u>
What is Speed?</u></h3>
- The most crucial scientific notion is measurement. Base or physical fundamental units are used to quantify a wide range of quantifiable quantities.
- One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance. Let's explore speed in-depth in this session.
- The pace at which an object's location changes in any direction. When an object travels the same distance in the same amount of time, it is said to be moving at a uniform speed.
- When an object travels a different distance at regular intervals, it is said to have variable speed.
We know the formula of distance linking the speed and the time.
Distance = speed × time
Substituting the given values to get:
Distance = r × 3
Distance = 3r
Know more about Speed with the help of the given link:
brainly.com/question/6280317
#SPJ4
Use Pythagorean theorem
a^2 + b^2 = c^2
a = 9, b = x, c = 18
9^2 + x^2 = 18^2
81 + x^2 = 324
x^2 = 243
x = 15.58846
Round to nearest tenth
Solution: x = 15.6