BelladonnaA116662 BelladonnaA116662
  • 25-10-2022
  • Mathematics
contestada

Determine whether the sequence 15,13,11,9 is an arithmetic sequence if yes, identify the common difference.

Respuesta :

LeighH471465 LeighH471465
  • 25-10-2022

The sequence is not an arithmetic sequence because. The n-term for an arithmetic sequence is:

[tex]a_n\text{ = }a_1\text{ + }(n-1)d[/tex]

where d is the difference between two consecutive numbers. In this case d = 2. Because

15-13 = 2

13-11 = 2

11- 9 = 2

now, the first term for 15,13,11,9 is 15 = a_1, the second term would be:

[tex]a_2\text{ = }a_1\text{ + }(2-1)d\text{ }[/tex]

that is equivalent to say:

[tex]a_2\text{ = 15 + }(2)2=19\ne13\text{ }[/tex]

So we can conclude that 15,13,11,9 is not an arithmetic sequence.

Answer Link

Otras preguntas

Multiple choice math. Make sure you are correct tho!
was george washington gay?​
Read the paragraph that begins at the end of p. 121 and continues to the middle of p. 122. Write an argumentative paragraph that answers the following questions
Why should Peru serve as a model for other countries to follow
can someone pls explain this, I'm stuck
I got 4 question left in my assignment this is the fourth this assignment is so important so if you can help please do it i would really appreciate it i just po
Does anyone know how to do this, I'm stuck
what is meant by force of an vehicle is 500000 N?​
You have blank when you divid both sides of equation 3n=12by 3
Match the question with the appropriate thinking skill. Pay close attention to the first word in each question. "Decide how the diets of today's teenagers measu