And we now wrap up the 2013 test. Next set will be from the early years.
Some algebra for today. Typical for the last questions, there is one infinite geometric series. Here is the one for this test:
Difficulty: Medium, but the kids will find it Hard.
Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest 2013
answer 39, answer 40, answer 41. Published 5/6.