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steelemaddie20
25.02.2020 •
Mathematics
You are given the following sequence:
60, 30, 15, 7.5, ...
Which term of the sequence is 7.5?
Question 1 options:
1st
2nd
3rd
4th
Question 2 (2 points)
What is the value of a subscript 5?
Chart with two rows. The first row is labeled n and the second row is labeled h of n. The first row contains the numbers three, four, five, and six. The second row contains the numbers four, nine, sixteen, and twenty-five.
Question 2 options:
5
6
16
80
Question 3 (2 points)
Which description represents this type of sequence: 33, 31, 28, 24, 19, …?
Question 3 options:
arithmetic
geometric
neither arithmetic nor geometric
both arithmetic and geometric
Question 4 (2 points)
Which description represents this type of sequence: negative 99 comma negative 96 comma negative 92 comma negative 87 comma negative 81 comma dot dot dot?
Question 4 options:
both arithmetic and geometric
neither arithmetic nor geometric
geometric
arithmetic
Question 5 (2 points)
Which description represents this type of sequence: 12, 22, 30, 36, 41, …?
Question 5 options:
neither arithmetic nor geometric
both arithmetic and geometric
arithmetic
geometric
Solved
Show answers
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Ответ:
7.5 is the 4th term of the sequence
.
In other words:![\boxed{a_4=7.5}](/tpl/images/0523/6225/17fde.png)
Step-by-step explanation:
Considering the sequence
As we know that a sequence is said to be a list of numbers or objects in a special order.
so
is a sequence starting at 60 and decreasing by half each time. Here, 60 is the first term, 30 is the second term, 15 is the 3rd term and 7.5 is the fourth term.
In other words,
Therefore, 7.5 is the 4th term of the sequence
.
In other words:![\boxed{a_4=7.5}](/tpl/images/0523/6225/17fde.png)
Question # 2The value of a subscript 5 is 16.
i.e. When n = 5, then h(5) = 16
Step-by-step explanation:
To determine:
What is the value of a subscript 5?
Information fetching and Solution Steps:
Chart with two rows.The first row is labeled n.The second row is labeled h of n. i.e. h(n)The first row contains the numbers three, four, five, and six.The second row contains the numbers four, nine, sixteen, and twenty-five.Making the data chart
n 3 4 5 6
h(n) 4 9 16 25
As we can reference a specific term in the sequence by using the subscript. From the table, it is clear that 'n' row represents the input and and 'h(n)' represents the output.
So, when n = 5, the value of subscript 5 corresponds with 16. In other words: When n = 5, then h(5) = 16
Therefore, the value of a subscript 5 is 16.
Question # 3We determine that the sequence 33, 31, 28, 24, 19, … is neither arithmetic nor geometric.
Step-by-step explanation:
Considering the sequence
33, 31, 28, 24, 19, …
Lets calculate the common difference 'd' to determine if the sequence is Arithmetic or not.
As the common difference 'd' is not constant. It means the sequence is not Arithmetic.
Lets now calculate the common ratio 'r' to determine if the sequence is Geometric or not.
The ratio is not constant. It means the sequence is not Geometric.
From the above analysis, we determine that the sequence 33, 31, 28, 24, 19, … is neither arithmetic nor geometric.
Question # 4We determine that the sequence -99, -96, -92, -87, -81... is neither arithmetic nor geometric.
Step-by-step explanation:
From the description statement:
''negative 99 comma negative 96 comma negative 92 comma negative 87 comma negative 81 comma dot dot dot''.
The statement can be translated algebraically as
-99, -96, -92, -87, -81...
Lets calculate the common difference 'd' to determine if the sequence is Arithmetic or not.
As the common difference 'd' is not constant. It means the sequence is not Arithmetic.
Lets now calculate the common ratio 'r' to determine if the sequence is Geometric or not.
The ratio is not constant. It means the sequence is not Geometric.
From the above analysis, we determine that the sequence -99, -96, -92, -87, -81... is neither arithmetic nor geometric.
Question # 5Step-by-step explanation:
Considering the sequence
12, 22, 30, 36, 41, …
As the common difference 'd' is not constant. It means the sequence is not Arithmetic.
The ratio is not constant. It means the sequence is not Geometric.
From the above analysis, we determine that the sequence 12, 22, 30, 36, 41, … is neither arithmetic nor geometric.
Ответ: