The sequence diverges because the value of the absolute common ratio r is greater than the 1.
<h3>What is convergent of a series?</h3>
A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We have series:
9, 27, 81, 243....
The above series is a geometric progression with common ratio r is 3

r = 3
We know the formula for a geometric sequence:


A geometric series converges only if the absolute value of the common ratio:
r < 1 and
It diverges if the ratio ≥ 1
Here the value of r = 3 which is greater than the 1 so the sequence diverges.
Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.
Learn more about the convergent of a series here:
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Answer:
that's it I think its clear
Option B:
The linear equation that best describes the model is y = 40x + 800.
Solution:
Take two points which exactly on the line.
Let the points are (0, 800) and (10, 1200).

Slope of the line:



m = 40
y-intercept of the line is where the line crosses at y-axis.
y-intercept (b) = 800
Equation of a line:
y = mx + b
y = 40x + 800
The linear equation that best describes the model is y = 40x + 800.
Option B is the correct answer.
Answer:
69.333333333333
Step-by-step explanation: