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On graph paper, draw Figure  and Figure for the pattern at right.  4-3 HW eTool (Desmos). Homework Help ✎

  1. Represent the number of tiles in each figure in an table. Let be the figure number and be the total number of tiles.

  2. Use the table to graph the pattern.

    How do the figures change as the pattern continues?
    Look at your table from part (a).

  3. Without drawing Figure 5, predict where its point would lie on the graph. Justify your prediction.

Figures 1, 2, and 3

  • Is there a trend in the way your points lie on the graph?

; justifications may vary.

Use the eTool below to complete parts (a) and (b).
Click the link at right for the full version of the eTool: CC3 4-3 HW eTool