8 The figure shows the first four rectangles in a pattern. Describe the iterative process used to create the pattern. للطبيب Describe what happens to the amount of unshaded area in each stage of the process. As the iterative process continues in the figure, what happens to the area of the unshaded part of each rectangle? If the base of the original rectangle is 2a units long and its height is a units long, then write the first four terms in the sequence that represents the unshaded area at each stage. (e) Write a formula using sigma notation for the total of the unshaded region in the sequence of figures assuming the pattern continues to Stage n.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.2: Arithmetic Sequences And Partial Sums
Problem 72E: A triangular brick wall is made by cutting some bricks in half to use in the first column of every...
Question
8 The figure shows the first four rectangles in a pattern.
Describe the iterative process used to create the pattern.
للطبيب
Describe what happens to the amount of unshaded area in each stage of the process.
As the iterative process continues in the figure, what happens to the area of the unshaded part of
each rectangle?
If the base of the original rectangle is 2a units long and its height is a units long, then write the first
four terms in the sequence that represents the unshaded area at each stage.
(e) Write a formula using sigma notation for the total of the unshaded region in the sequence of figures
assuming the pattern continues to Stage n.
Transcribed Image Text:8 The figure shows the first four rectangles in a pattern. Describe the iterative process used to create the pattern. للطبيب Describe what happens to the amount of unshaded area in each stage of the process. As the iterative process continues in the figure, what happens to the area of the unshaded part of each rectangle? If the base of the original rectangle is 2a units long and its height is a units long, then write the first four terms in the sequence that represents the unshaded area at each stage. (e) Write a formula using sigma notation for the total of the unshaded region in the sequence of figures assuming the pattern continues to Stage n.
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