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Geometric Recursive Definitions

4.17.4 Geometric Recursive Definitions

4.17.4 • Geometric Recursive Definitions

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The geometric sequence GG starts 12, 6, . . .

1.

Write a recursive definition for sequence GG.

Compare your answer:

g(1)=12,g(n)=0.5⋅g(n−1)g(1)=12,g(n)=0.5⋅g(n−1) for n≥2n≥2 or equivalent.

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2.

Use the graphing tool above or technology outside the course. Sketch a graph representing the first 5 terms of sequence GG.

Compare your answers:

A scatter plot with five points showing a downward trend as n increases. The y-axis ranges from 0 to 14, and the x-axis ranges from 0 to 6. Points are plotted at (1,12), (2,6), (3,3), (4,1.5), and (5,1).