Problem:
For a real number x, define ♡(x) to be the average of x and x2. What is ♡(1)+♡(2)+♡(3)?
Answer Choices:
A. 3
B. 6
C. 10
D. 12
E. 20
Solution:
Note that ♡(1)=21+12=1,♡(2)=22+22=3, and ♡(3)= 23+32=6. Thus ♡(1)+♡(2)+♡(3)=1+3+6=(C)10.
The problems on this page are the property of the MAA's American Mathematics Competitions