Question 17
In the five-sided star shown, the letters $A,$ $B,$ $C,$ $D,$ and $E$ are replaced by the numbers $3,$ $5,$ $6,$ $7,$ and $9,$ although not necessarily in this order. The sums of the numbers at the ends of the line segments $AB,$ $BC,$ $CD,$ $DE,$ and $EA$ form an arithmetic sequence, although not necessarily in this order. What is the middle term of the arithmetic sequence?
