Respuesta :

Given:

[tex]a_1=2,a_n=35,n=12[/tex]

Required:

Find the sum of the arithmetic series.

Explanation:

The sum of the arithmetic series when the first and the last term is given by the formula.

[tex]S_n=\frac{n}{2}(a_1+a_n)[/tex]

Substitute the given values in the formula.

[tex]\begin{gathered} S_n=\frac{12}{2}(2+35) \\ =6(37) \\ =222 \end{gathered}[/tex]

Final Answer:

Option D is the correct answer.