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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The dependent variable here is task performance. The independent variable in the question is musical genres.
<h3>What is a dependent variable?</h3>
This is the term that is used to refer tp the variable that is of interest. It is the variable that one is trying to determine.
The independent variable is the x variable. It is the variable that helps us check the impact that it has on the dependent variable.
The task performance is what we want to know here. To do so we want to use the genre of music.
Read more on dependent and independent variables here:
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In this question we are not told the the measurements of the horse pasture
14, 1/2 = 29/2
14 x 2 since it's a half = 28 plus another half is 29 halves :)