turkey-yks 2016 Q11

turkey-yks · Other · lys1-math Inequalities Integer Solutions of an Inequality
$$\mathrm { A } = \left\{ \mathrm { n } ( - 1 ) ^ { \mathrm { n } } : \mathrm { n } = 1,2,3 , \ldots , \mathrm { k } \right\}$$
The difference between the largest and smallest elements of the set is 25. Accordingly, how many positive elements does set A have?
A) 4
B) 6
C) 8
D) 10
E) 12
$$\mathrm { A } = \left\{ \mathrm { n } ( - 1 ) ^ { \mathrm { n } } : \mathrm { n } = 1,2,3 , \ldots , \mathrm { k } \right\}$$

The difference between the largest and smallest elements of the set is 25.\\
Accordingly, how many positive elements does set A have?\\
A) 4\\
B) 6\\
C) 8\\
D) 10\\
E) 12