Concept explainers
a.
To find the next figure in the pattern.
a.
Explanation of Solution
Given:
The given pattern of figures is −
Calculation:
The following will be the next figure in the pattern-
b.
To write a sequence to represent the number of dots.
b.
Answer to Problem 24E
Explanation of Solution
The following is the sequence of dots-
c.
To write the general term for nth term of the sequence in part b.
c.
Answer to Problem 24E
Explanation of Solution
The following is the general term for nth term
d.
To write the formula for calculating the total number of dots.
d.
Answer to Problem 24E
Explanation of Solution
The following is formula for calculating the total number of dots-
e.
To prove the formula obtained in part (d) using mathematical induction.
e.
Explanation of Solution
The following is formula for calculating the total number of dots-
Step 1: Base step
Step 2:
Step 3: substitute
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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