A surveyor starts at the southeast corner of a lot and
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Non-negative integers are positive integers or zero.
1. When then there are such possible cases for
and
In total 11 solutions for
2. For there are such possible cases for
and
In total 10 solutions for
3. This process gives you
- for
- 9 solutions;
- for
- 8 solutions;
- for
- 7 solutions;
- for
- 6 solutions;
- for
- 5 solutions;
- for
- 4 solutions;
- for
- 3 solutions;
- for
- 2 solutions;
- for
- 1 solution.
4. Add all numbers of solutions:
Answer: there are 66 possible solutions (with non-negative integer variables)
It's a geometric sequence.
It's the sum for term 4 through term 15.
It's the sum for term 4 through term 15.