Problem:
What is the value of the product
(1+11β).(1+21β).(1+31β).(1+41β).(1+51β).(1+61β)?
Answer Choices:
A. 67β
B. 34β
C. 27β
D. 7
E. 8
Solution:
The product may be written as
2β
23ββ
34ββ
45ββ
56ββ
67β=7β
The problems on this page are the property of the MAA's American Mathematics Competitions