Based on the calculations, all of the numbers belong to this arithmetic sequence.
<h3>How to calculate an arithmetic sequence?</h3>
Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
![a_n = a_1 +(n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%28n-1%29d)
<u>Where:</u>
- d is the common difference.
- a₁ is the first term of an arithmetic sequence.
- n is the total number of terms.
Next, we would determine the common difference as follows:
d = a₂ - a₁
d = 105 - 99 = 6.
d = a₃ - a₂
d = 111 - 105 = 6.
d = a₄ - a₃
d = 117 - 111 = 6.
Based on the calculations, all of the numbers belong to this arithmetic sequence.
Read more on arithmetic sequence here: brainly.com/question/12630565
#SPJ1
Complete Question:
What is the number that does not belong to this sequence 99, 105, 111, 117, 123, 129, 135, 141, 147, 153