2016 AIME I Problems/Problem 1
Contents
[hide]Problem 1
For , let denote the sum of the geometric series Let between and satisfy . Find .
Solution
We know that , and . Therefore, , so . We can divide out to get . We see
Solution 2
The sum of an infinite geometric series is . The product so dividing by gives . , so the answer is .
Critique:
This solution is the same as the one above. Also, , not
See also
2016 AIME I (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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