Complete the following Pascal's Triangle by observing the number pattern.

In the given figure, let $x$ denote the number of steps and $y$ denote its area. Find the relationship between $x$ and $y$ by tabulation.

In the figure, let $x$ denotes the number of steps and $y$ denotes the number of matchsticks used. Find the relationship between $x$ and $y$ by tabulation.

Observe the table given below.

Find the relationship between $x$ and $y$. What will be the value of $y$, when $x=8$.

Can row sum of elements in a Pascal's Triangle form a pattern?

Observe the numbers in the hexagonal shape given in the Pascal's Triangle. The product of the alternate three numbers in the hexagon is equal to the product of remaining three numbers. Verify this

(i) (ii) (iii)