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Natalija [7]
2 years ago
9

What are the explicit equation and domain for an arithmetic

Mathematics
1 answer:
max2010maxim [7]2 years ago
8 0

Given:

First term of an arithmetic sequence = 5

Second term = 3

To find:

The explicit formula for the given arithmetic sequence.

Solution:

We have,

First term: a_1=5

Second term: a_2=3

Common difference is

d=a_2-a_1

d=3-5

d=-2

Now, the explicit formula for an arithmetic sequence is

a_n=a+(n-1)d

where, a is first term and d is common difference.

Putting a=5 and d=-2, we get

a_n=5+(n-1)(-2)

It can also be written as

a_n=5-2n+2

a_n=7-2n

Here, n is an integer greater than or equal to 1.

Domain is the set of input values.

Therefore, the explicit equation is a_n=5+(n-1)(-2) or a_n=7-2n and domain is all interest greater than or equal to 1.

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nevsk [136]

Answer:

y is equal to (-1/4)x

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7 0
3 years ago
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stiks02 [169]

Step-by-step explanation:

it seems the answer is four (option a)

5 0
3 years ago
The 2016 Minneapolis Resident Survey was a questionnaire that the City of Minneapolis issued to its randomly chosen residents. I
sukhopar [10]

Answer: I and III

Step-by-step explanation:

We observe in the case provided that the researcher, who has no interest in the population to intervene, is going to carry out surveys to assess whether the neighborhood is a good place to live, obtaining the following conclusions:

i. The Minneapolis Resident Survey was an observational study.

ii. The Minneapolis Resident Survey was an experiment.

iii. The figure 50.1% is a descriptive statistic for the sample.

iv. The figure 50.1% is a statistical inference for the population.:By estimating the sample, obtained by a lower percentage of the total of the respondents, it is known that with a 95% confidence interval that the rating obtained from the respondents considering that the neighborhood is a good place to live was found between 0.44 and 0.50, taking this interval as a statistical inference for the population.

The correct answer is I and III, since in this study no interventions were made to the population and only one observation of a characteristic of the neighborhood was made and in III we know that the descriptive statistic only describes data and summarizes it, which is a of the ways to display the data from the descriptive survey.

3 0
3 years ago
A publisher requires 2⁄3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest
rjkz [21]

Let x be the number of pages of advertisements.

Write a proportion from the table:

\dfrac{2}{3} of a page of advertisment - 5 pages in a magazine

x pages of advertisment - 98 pages in a magazine,

then

\dfrac{\dfrac{2}{3}}{x}=\dfrac{5}{98}.

Find x:

x=\dfrac{\dfrac{2}{3}\cdot 98}{5}=\dfrac{196}{15}=13\dfrac{1}{13}.

Answer: 13 whole pages and \dfrac{1}{13} of 14th page are advertisments, so 14 pages contain advertisments.

3 0
3 years ago
How do u solve this problem “15 = 2 − 5?”
aev [14]

Answer:

-3 is the answer

7 0
3 years ago
Read 2 more answers
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