Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoni
ng.
1 answer:
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The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.
Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
It can be given as,
Here,
is the (<em>a</em>) first term of the sequence, and (<em>r</em>) is the common ratio.
To be a series as geometric series diverges, it should follow,
First option given as,
3/5+3/10+3/20+3/40+ ...
Here, the common ratio is,
The common ratio is less than one. Thus option a is not correct.
First option given as,
-10+4-8/4+18/25- ...
Here, the common ratio is,
For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.
In the option number c, the value of common ratio is -4. The absolute value of common ratio is,
The absolute value of this common ratio is more than one. Thus, this is the correct option.
The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.
Learn more about the geometric sequence here;
Answer:
Step-by-step explanation:
- <em>Take into account that a population data set contains all members of the group and a sample data set contains only a subpart of the group.</em>
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- <em>In this case, Ms. Smith can take the scores of all students of the math class, due to this group is not enough big to consider to take a subpart.</em>
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<u><em>Hence, Ms. Smith should consider her data as a population data set.</em></u>