2022 AMC 12A Problems/Problem 8
Problem
The infinite product
evaluates to a real number. What is that number?
Solution
We can write as . Similarly, .
By continuing this, we get the form
which is
.
Using the formula for an infinite geometric series , we get
Thus, our answer is
- phuang1024
See Also
2022 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 7 |
Followed by Problem 9 |
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All AMC 12 Problems and Solutions |
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