Question 8
Evaluate
$$\frac{1+3+5+\cdots+2013+2015}{2+4+6+\cdots+2014+2016}.$$
Source-choice issue: more than one printed choice has the correct numerical value. The original choices are retained below. Select any one correct choice, or give the value; this response is assessed manually. No extra explanation or list of all correct choices is required.
Original choices (retained for manual assessment):
A. $2016/2018$
B. $1004/1005$
C. $1008/1009$
D. $1002/1003$
E. $2015/2017$
$$\frac{1+3+5+\cdots+2013+2015}{2+4+6+\cdots+2014+2016}.$$
Source-choice issue: more than one printed choice has the correct numerical value. The original choices are retained below. Select any one correct choice, or give the value; this response is assessed manually. No extra explanation or list of all correct choices is required.
Original choices (retained for manual assessment):
A. $2016/2018$
B. $1004/1005$
C. $1008/1009$
D. $1002/1003$
E. $2015/2017$