hannah29self
contestada

Select from the drop-down menus to correctly complete each statement An arithmetic sequence represents a _____ function because it has a constant rate of change. As the sequence progresses, each value an in the sequence increases or decreases by a specific amount For example, the arithmetic sequence 9, 13, 17, 21, represents a ______ function because as n increases by 1, each value an increases by _____ Therefore, this arithmetic sequence ______a function

1st line :linear or nonlinear
2nd line:linear or nonlinear
3rd line: 1 , 4 or different amounts
4th line:represents or does not represent



​

Respuesta :

rococo908

Answer:

1st line: linear

2nd line: linear

3rd line: 4

4th line: represents

Step-by-step explanation:

Arithmetic sequences increase by the same number each time. This means they are linear, as linear functions also increase by the same number each time.

So, the first and second lines have the answer of linear.

In the arithmetic sequence given, 4 is added to the previous number as it progresses. This represents a function.

So, the third line has the answer of 4, and the fourth line has the answer or represents.

Using arithmetic sequence concepts, it is found that the lines are:

  • 1st: linear.
  • 2nd: linear.
  • 3rd: 4.
  • 4th: represents

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of the sequence is given by:

[tex]a_{n+1} = a_1 + (n-1)d[/tex]

Hence, an arithmetic sequence is also a linear function with rate of change d.

In this problem:

  • The sequence is: 9, 13, 17, 21.
  • The rate of change is of 4, as when n increases by 1, each value increases by 4.

Hence, the lines are completed by:

  • 1st: linear.
  • 2nd: linear.
  • 3rd: 4.
  • 4th: represents

You can learn more about arithmetic sequence concepts at https://brainly.com/question/25433204

Otras preguntas