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.

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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.

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