Identify the type of sequence shown in the table below and select the appropriate response. (5 points)

Mathematics

2 answers:

Anton [14]2 years ago

8 0

Its geometric as you are multiplying by -3 each time

Ipatiy [6.2K]2 years ago

7 0

Answer:

<h2>The given sequence is geometric, which reason is -3.</h2>

Step-by-step explanation:

If we pay attention to the sequence, we would observe that $f(n)$ is increasing by a reason of $-3$ , because

$12(-3)=-36\\-36(-3)=108\\108(-3)=-324\\-324(-3)=972$

So, basically, each term is being multiplied by $-3$ , that's what makes the sequence, which is a geometric sequence, because it's being built by a factor, that is, a number which multiplies each term.

When you have to deduct if you have a arithmetic sequence or a geometric sequence, you need to observe if such sequence is increasing or decreasing faster. Like this case, you can see that the numbers are increasing rapidly, that means it's built based on a factor, not a difference, because when we use a difference to form a sequence, that will grow slower and it would be an arithmetic sequence.

Therefore, the given sequence is geometric, which reason is -3.

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leonid [27]

Have you tried doing (3x+18)+(9x-27)=99

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3 years ago

Ann cleans an apartment in 12 hours and liz cleans an apportment in 18 hours. How long would it take to clean an appartment toge

Tresset [83]

If Ann cleans in 12 hours then she cleans $\frac{1}{12}$ of the apartment per hour. Similarly Liz cleans $\frac{1}{18}$ of the appartment per hour. So together then can clean $\frac{1}{12}+\frac{1}{18}=\frac{5}{36}$ of the apartment for hour. Therefor it will take them $\frac{36}{5}=7.2$ hours to clean.

The general formula $R_{c}=\frac{AB}{A+B}$ can be used as a check if needed.