What is the sum of the elements of ninth row in the Pascal's triangle?

Choose the correct relationship between $x$ and $y$ from the given table.

Find the triangular numbers from the Pascal's Triangle and colour them.

Write the first five numbers in the third slanting row of the Pascal's Triangle and find their squares. What do you infer?

Tabulate and find the relationship between the variables ($x$ and $y$) for the following patterns.

Tabulate and find the relationship between the variables ($x$ and $y$) for the following patterns.

Verify whether the following hexagonal shapes form a part of the Pascal's Triangle.

In the following figures, polygons are formed by increasing the number of sides using matchsticks as given below.

Find the number of sticks required to form the next three shapes by tabulation and generalisation.

Tabulate the $3^{\text{rd }}$ 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.

Verify whether the relationship, $y=\frac{x(x+1)}{2}$ between x and y for the given values is true.