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Mrrafil [7]
3 years ago
5

Write the first three terms in the following sequences. Identify them as arithmetic or geometric

Mathematics
1 answer:
lara [203]3 years ago
6 0

Answer:

10, 1, 0.1, 0.01

It is a geometric sequence

Step-by-step explanation:

A(n + 1) = A(n) ÷ 10  for  n ≥ 1  and  A(1) = 10

A(1+1) = A(2) = A(1) / 10 = 10 / 10 = 1

A(2+1) = A(3) = A(2) / 10 = 1 / 10 = 0.1

A(3+1) = A(4) = A(3) / 10 = 0.1 / 10 = 0.01

It corresponds to a geometric sequence, which is defined by its starting number a (10), the common factor r (0.1) and the number of terms S.

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Which person is automatically entitled to United States citizenship?
Feliz [49]

Answer: C, a woman whose father was a United States citizen

Step-by-step explanation: Your siblings do not affect your citizenship, so A is incorrect.

As for B, you need to go through a ton of legal stuff to become a citizen if you are born in a different country. D is incorrect because it legit makes zero sense. If you're from a country the US dislikes, it'll be even harder to become a citizen

5 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. Any non-integer answers in this problem should be entered as
ladessa [460]

Answer:

The interquartile range of the data set is 5

The mean absolute deviation of the data set is 3.6

Step-by-step explanation:

* Lets explain how to find the interquartile range and the mean absolute

  deviation (MAD)

- The steps to find the interquartile range is:

1- Arrange the values from the smallest to the largest

∴ The values are 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

2- Find the median

- The median is the middle value after arrange them

* If there are two values in the middle take their average

∵ The values are 10 then the 5th and the 6th are the values

∵ The 5th is 12 and the 6th is 13

∴ The median = \frac{12+13}{2}=12.5

∴ The median is 12.5

3- Calculate the median of the lower quartile

- The lower quartile is the median of the first half data values

∵ There are 10 values

∴ The first half is the first five values

∴ The first half values are 5 , 6 , 10 , 11 , 12

∵ The middle value is 10

∴ The median of lower quartile = 10

- Similar find the median of the upper quartile

- The upper quartile is the median of the second half data values

∵ There are 10 numbers

∴ The second half is the last five values

∴ The second half values are 13 , 14 , 15 , 18 , 20

∵ The middle value is 15

∴ The median of upper quartile = 15

4- The interquartile range (IQR) is the difference between the upper

    and the lower medians

∴ The interquartile range = 15 - 10 = 5

* The interquartile range of the data set is 5

* Lets talk about the mean absolute deviation

- Mean absolute deviation (MAD) of a data set is the average distance  

 between each data value and the mean

- To find the mean absolute deviation of the data, start by finding

   the mean of the data set.  

1- Find the sum of the data values, and divide the sum by the  

   number of data values.  

∵ The data set is 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

∵ Its sum = 5 + 6 + 10 + 11 + 12 + 13 + 14 + 15 + 18 + 20 = 124

∵ The mean = the sum of the data values/the number of the data

∵ The set has 10 numbers

∴ The mean = 124/10 = 12.4

2- Find the absolute value of the difference between each data value  

   and the mean ⇒ |data value – mean|

# I5 - 12.4I = 7.4

# I6 - 12.4I = 6.4

# I10 - 12.4I = 2.4

# I11 - 12.4I = 1.4

# I12 - 12.4I = 0.4

# I13 - 12.4I = 0.6

# I14 - 12.4I = 1.6

# I15 - 12.4I = 2.6

# I18 - 12.4I = 5.6

# I20 - 12.4I = 7.6

3- Find the sum of the absolute values of the differences.

∵ Their sum = 7.4 + 6.4 + 2.4 + 1.4 + 0.4 + 0.6 + 1.6 + 2.6 + 5.6 + 7.6

∴ Their sum = 36

4- Divide the sum of the absolute values of the differences by the

    number of data values  to find MAD

∴ MAD = The sum of the absolute values/number of the values

∵ The sum = 36

∵ The data set has 10 values

∴ MAD = 36/10 = 3.6

* The mean absolute deviation of the data set is 3.6

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3 years ago
What is the simplified form of the following expression (5/4)^3
Vlad [161]
★ EXPONENTIALLY RESOLVED ★

(5/4)^3

= 5 ( 5 ) ( 5 ) / 4 ( 4 ) (4 )

= 25 ( 5 ) / 16 ( 4 )

= 125 / 64

★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
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Answer:

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