2016 AIME I Problems/Problem 1
Contents
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
It is commonly known that the sum of a geo series is . The product so dividing by gives . , so the answer is .
See also
2016 AIME I (Problems • Answer Key • Resources) | ||
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Followed by Problem 2 | |
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