Directions: In this task you are asked to examine and analyze the sequence represented in the diagram to the right. 1. Look at the shapes in the diagram to the right. How does the diagram change from the stage 1 to stage 2? 2. Describe anything that remains constant at all stages of the diagram 3. Using the diagram, complete the table of values. Stage 1 2 3 4 5 6 7 8 9 Number of Tiles 4. Is this an Arithmetic Sequence, a geometric sequence, or neither? Justify your answer. 5. Graph the values from the table on the coordinate plane. 6. Write a functional rule to give the number of tiles at any (n) stage.
Directions: In this task you are asked to examine and analyze the sequence represented in the diagram to the right. 1. Look at the shapes in the diagram to the right. How does the diagram change from the stage 1 to stage 2? 2. Describe anything that remains constant at all stages of the diagram 3. Using the diagram, complete the table of values. Stage 1 2 3 4 5 6 7 8 9 Number of Tiles 4. Is this an Arithmetic Sequence, a geometric sequence, or neither? Justify your answer. 5. Graph the values from the table on the coordinate plane. 6. Write a functional rule to give the number of tiles at any (n) stage.