The number of students in each row is an illustration of arithmetic sequence.
The explicit formula of the sequence is: [tex]\mathbf{T_n = 15 -2 (n -1)}[/tex]
The given parameters are:
[tex]\mathbf{a = 15}[/tex] --- the first term
[tex]\mathbf{d = -2}[/tex] -- the common difference
So, the nth term is:
[tex]\mathbf{T_n = a + (n -1)d}[/tex]
Substitute the given parameters:
[tex]\mathbf{T_n = 15 + (n -1)(-2)}[/tex]
Rewrite as:
[tex]\mathbf{T_n = 15 -2 (n -1)}[/tex]
Hence, the explicit formula of the sequence is: [tex]\mathbf{T_n = 15 -2 (n -1)}[/tex]
Read more about arithmetic sequence at:
https://brainly.com/question/18109692
