Implementation of "Triangular Number Sequence" with Scala

Triangular Number Sequence is 1, 3, 6, 10, 15. This is very basic mathematical concept.

This sequence is getting generated from a pattern of dots which form a Triangle.

To know more about Triangular Number Sequence, please check this page => Triangular Number Sequence

At this page only I saw one very good example of how we can use this sequence in solving problems. One problem is given @: A Walk in The Desert

So I thought of solving the problem with Functional Programming i.e. Scala. 

The solution code is @ Solution to A Walk in The Desert

The strategy I followed:

• Consideration: My starting position is {0, 0} [FYI: Always first X co-ordinate and then Y co-ordinate]
• Strategy:

• In every odd step => Either I am going towards North or toward South i.e. my X co-ordinate is constant
• In every even step => Either I am going towards East or toward West i.e. my Y co-ordinate is constant
• In every steps, my co-ordinate(either X or Y based on whether my step is even or odd) will  change the sign.

Feel free to provide your comment if you see any scope of improvement. Thanks.