### Home > AC > Chapter 2 > Lesson 2.1.7 > Problem 2-70

Examine the tile pattern below.

Tile | Tile |

Tile | Tile |

Figure 1

Tile | Tile | Tile |

Tile | Tile | Tile |

Tile | Tile | Tile |

Figure 2

Tile | Tile | Tile | Tile |

Tile | Tile | Tile | Tile |

Tile | Tile | Tile | Tile |

Tile | Tile | Tile | Tile |

Figure 3

On graph paper, draw Figures 4 and 5.

Figure 1 is a

-by- square

Figure 2 is a-by- square

Figure 3 is a-by- square.

That means Figureshould be a-by- square. What would Figure 10 look like? How many tiles would it have? What about Figure 100?

Refer to the Hint in part (a).

Figure 10: An

-by- square that would have tiles.

Can you use the pattern to find what Figure 100 would look like?Cami has a different tile pattern. She decided to represent the number of tiles of her pattern in a table, as shown below. Can you use the table to predict how many tiles would be in Figure 5 of her tile pattern? How many tiles would Figure 8 have? Explain how you know.

Figure Number

1

2

3

4

Number of Tiles

5

9

13

17

Find the pattern in the chart.