Answer :

The sequence goes up in 3 so it will be 3n... and then whatever you have to minus to get the term...
3n-1
Hope this helps :)
Lanuel

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

#SPJ2

Other Questions