The primary goals of the lesson are to explore the connection between exponential growth and geometric sequences and to compare linear growth to exponential growth in context. In one exercise, students graph both types of sequences on one graph to help visualize the growth in comparison to each other.
The Closing challenges students to recognize that depending on the value of the base in the exponential expression of a geometric sequence, it can take some time for the geometric sequence to exceed the arithmetic sequence. In this lesson, students begin to make connections between geometric sequences and exponential growth and between arithmetic sequences and linear growth. These connections are formalized in later lessons.
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