Respuesta :

Answer:

Option D. [tex]272[/tex]

Step-by-step explanation:

we know that

To evaluate the sum , use the formula

[tex]S=\frac{1}{2}(a1+an)n[/tex]

where

a1 is the first term

an is the last term

n is the number of terms

In this problem

For n=1 ------> a1=2(1)=2

For n=16 ------> an=2(16)=32

n=16 terms

substitute in the formula

[tex]S=\frac{1}{2}(2+32)16[/tex]

[tex]S=272[/tex]