Based on the calculations, the nth term of this arithmetic sequence is equal to [tex]a_n = 3n - 1[/tex]
How to calculate an arithmetic sequence?
Mathematically, the nth term of an arithmetic sequence is calculated by using this expression:
[tex]a_n = a_1 +(n-1)d[/tex]
Where:
- d is the common difference.
- a₁ is the first term of an arithmetic sequence.
- n is the total number of terms.
Note: The common difference, d = 5 - 2 = 3.
Substituting the given parameters into the expression, we have;
[tex]a_n = 2 +(n-1)3\\\\a_n = 2 + 3n - 3\\\\a_n = 3n - 1[/tex]
Read more on arithmetic sequence here: brainly.com/question/12630565
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