Chapter 1.1, Problem 9PPSE

Solution

To find: To draw the next likely figure in each pattern.

Given information: To describe each pattern given using words and to draw the next likely figure in each pattern.

  

Explanation:

  

The pattern shows the squares with their numbers increasing by $2$ and the increased squares are arranged sideways as shown above.

The first figure has three squares. On increasing by $2$, the second figure has five squares having the increased squares arranged sideways.

The second figure has five squares. On increasing by $2$, the third figure has seven squares and the two increased squares are arranged above the preceding square sideways.

The third figure has seven squares. On increasing by $2$, the fourth figure has nine squares and the two increased squares are arranged above the preceding square sideways.

Since the fourth figure has nine squares, the next figure would have two more squares:

Hence, the last figure would have eleven squares with the increased number of squares arranged sideways.

The next figure would have two more squares arranged sideways as shown below: