To Calculate: The combined area of the pieces of paper appears to be approaching by using the formula for the sum of a finite geometric series.
The given table is shown below:
Number of pieces | 1 | 2 | 3 | 4 | 5 | … |
Combined area | ? | ? | … |
The sum appears to approach 1 as n increases.
Given information:
The given table is:
Number of pieces | 1 | 2 | 3 | 4 | 5 | … |
Combined area | ? | ? | … |
Formula used:
The sum of an infinite geometric series with first term
Calculate:
Consider the given table.
Fill the table as shown:
Number of pieces | 1 | 2 | 3 | 4 | 5 | … |
Combined area | ? | ? | … |
The series of combined area can be written as:
This is the geometric series with common ratio
Use the sum of an infinite geometric series formula.
The sum appears to approach 1 as n increases.
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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