2016 AIME I Problems/Problem 1
Problem 1
For , let
denote the sum of the geometric series
Let
between
and
satisfy
. Find
.
Solution 2
The sum of an infinite geometric series is . The product
so dividing by
gives
.
, so the answer is
.
See also
2016 AIME I (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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