Chapter 0, Problem 2P

To determine

To draw:the fifth figure following the given pattern.

Answer to Problem 2P

The fifth figure in the pattern is,

  

Explanation of Solution

Given:

  

Calculation:

Consider the following figures:

  

We start by listing number of rows and columns they have.

Figure 1, rows $=1$

Columns $=2$

Figure 2, rows $=2$

Columns $=3$

Figure 3, rows $=3$

Columns $=4$

One can easily see the pattern here, every time we proceed to next figure, both number of rowsand columns gets increased by 1

Thus, by that reasoning,

For figure 4, rows will be $=4$

And, columns will be $=5$

In similar way,

For figure 5, rows will be $=5$

And, columns will be $=6$

Thus, the fifth figure in the pattern is,

  

Conclusion:

Thus, the fifth figure in the pattern is,