|May 21st, 2013, 10:14 AM||#2|
Joined: Feb 2012
Re: find an item of series
Every member of S is of the form , and S can be sorted in increasing order as follows: sort by greater z, then by greater y, and then by greater x. Let us consider the number of elements sorting by greater z:
1 element for z = 2
3 elements for z = 3...
elements for z = k.
Thus, up to z = k, there are a total of elements.
The first k such that is 9, so for the 100th element, z = 9.
Now the 120th element is , so we simply work backwards from there:
The 113th element is
The 112th element is
The 106th element is
The 105th element is
The 100th element is .
|find, item, series|
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