2002 AMC 10A Problems/Problem 16
Contents
Problem
Let . What is
?
Solution
Let . Since one of the sums involves a, b, c, and d, it makes sense to consider 4x. We have
. Rearranging, we have
, so
. Thus, our answer is
.
Solution 2
Take
Now we can clearly see:
Continuing this same method with
, and
we get altogether
,
,
, and
,
Adding, we see
. Therefore,
.
See Also
2002 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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All AMC 10 Problems and Solutions |
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