### Home > AC > Chapter 4 > Lesson 4.1.3 > Problem 4-21

4-21.

Two of the connections in your representations web are pattern → table and pattern → rule. Practice these connections as you answer the questions below.

On graph paper, draw Figure 0 and Figure 4 for the pattern below.

Tile

Tile

Tile

Tile

Tile

Figure 1

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Figure 2

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Figure 3

What is the growth between the number of tiles in each figure?

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Tile

Represent the number of tiles in each figure with a table.

Figure #

Tile #

Represent the number of tiles in each figure with an algebraic rule.

What is the growth between the number of tiles in each figure?

What is the starting amount?