Concept explainers
To calculate: To find which figure will have a perimeter of
Answer to Problem 9CYU
Figure 15 has perimeter of
Explanation of Solution
Given information: Each side of a square has a length of
Formula Used:
Term: In a sequence, each number is referred to as a term
Term Number: In a sequence, the position of the given term is referred to as term number.
When the difference between the consecutive terms of a sequence is common, then the sequence is an arithmetic sequence.
Calculation:
Given the sequence of figures as follows:
From above figure,
Perimeter of Figure 1
Perimeter of Figure 2
Perimeter of Figure 3
Sequence is given as follow:
Here, the first term of the sequence is
Also, the common difference is
Since the difference is common, hence the sequence in arithmetic sequence.
Let term is denoted by
Thus, nth term of arithmetic sequence is given as
Also, we need to find the figure that has perimeter of
Thus,
Substituting the values in above equation,
Hence, figure 15 has perimeter of
Chapter 8 Solutions
Pre-Algebra Student Edition
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