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Tabulate the \(3^{rd}\) slanting row of the Pascal's Triangle by taking the position of the numbers in the slanting row as \(x\) and the corresponding values as \(y\).
| \(x\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | .... |
| \(y\) | \(1\) | \(3\) | \(6\) | \(10\) | \(15\) | \(21\) | .... |
Verify whether the relationship, \(y = \frac{x(x + 1)}{2}\) between \(x\) and \(y\) for the given values is true.
Important!
This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.
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