2002 AMC 10A Problems/Problem 16
Contents
Problem
Let . What is
?
Solution 1
Let . Since one of the sums involves
and
it makes sense to consider
. 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:
,
,
, and
,
Adding, we see
. Therefore,
.
Solution 3(Video solution using The Apple Method)
https://www.youtube.com/watch?v=rz86M2hlOGk&feature=emb_logo
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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