In the sequence $32,8, \longrightarrow, \longrightarrow x$, each term after the second is the average of the two terms immediately before it. The value of $x$ is
(A) 17
(B) 20
(C) 44
(D) 24
(E) 14

## Part B: Each correct answer is worth 6.
The third term in the sequence is, by definition, the average of the first two terms, namely 32 and 8 , or $\frac{1}{2}(32+8)=\frac{1}{2}(40)=20$.

The fourth term is the average of the second and third terms, or $\frac{1}{2}(8+20)=14$.

The fifth term is the average of the third and fourth terms, or $\frac{1}{2}(20+14)=17$.

Therefore, $x=17$.

ANSWER: (A)