(a)
To fill the blank space:
A(n) _____ is an ordered list of numbers that often form a pattern.
(a)

Answer to Problem 1MP
Sequence. |
Explanation of Solution
Definition of sequence:
A sequence is an ordered list of numbers that often form a pattern. Each number in the list is called a term of a sequence.
(b)
To fill the blank space:
The function modeling Keiko’s blog is a(n) ________ formula
(b)

Answer to Problem 1MP
Explicit. |
Explanation of Solution
Given information: The function model for the number of subscribes K, to the Keiko’s blog is
Formula Used:
Definition of Explicit Formula:
An explicit formula designates the
(wheren = the term’s location) .It defines the sequence as a formula in terms of n.
Calculation:
The table for the number of subscribers to Keiko’s blog for first few month is:
Number ofMonths | Number of Subscribes |
0 | 10 |
1 | 11 |
2 | 14 |
3 | 19 |
4 | 26 |
The function model for the number of subscribes to Keiko’s blog can be written as
10, 11, 14, 19, 26…
∴The function modeling Keiko’s blog is an explicit formula since, the sequence is expressed in terms of a variable m(where m denotes number of months)
(c)
To fill the blank space:
The common difference in the function modeling Jayden’s blog is _________
(c)

Answer to Problem 1MP
8. |
Explanation of Solution
Given Information:
The table for the number of subscribers to Jayden’s blog for first few months is:
Number ofMonths | Number of Subscribes |
0 | 48 |
1 | 56 |
2 | 64 |
3 | 72 |
4 | 80 |
The sequential model for the number of subscribes to Jayden’s blog can be written as
48, 56, 64, 72, 80……
Common difference can be calculated by subtracting the
∴the common difference in sequence of Jayden’s blog is 8
(d)
To fill the blank space:
Jayden’s blog will first have at least 100 subscribers in ______ months
(d)

Answer to Problem 1MP
8. |
Explanation of Solution
Given Information:
The sequential model for the number of subscribes to Jayden’s blog is
48, 56, 64, 72, 80……
First term,
Common difference,
Formula Used:
Explicit formula for an Arithmetic sequence:
Where,
d denotes the common difference
Calculation:
Substituting the values of
∴Jayden’s blog will first have at least 100 subscribers in 8 months
(e)
To fill the blank space:
Kelko’s blog will first have at least 100 subscribers in ______ months
(e)

Answer to Problem 1MP
10. |
Explanation of Solution
Given Information: The function model for the number of subscribes K, to the Keiko’s blog is
Also Number of subscribers,
Calculation:
Substituting the value ofKinabove equation
∴Kelko’s blog will first have at least 100 subscribers in 10 months.
(f)
To fill the blank space:
A function rule that relates each term of a sequence after the first term to the ones before it is called a(n) _____ formula
(f)

Answer to Problem 1MP
Recursive. |
Explanation of Solution
Given Information
Recursive Formula:
A recursive formula is a function rule that defines each term of a sequence using preceding terms. Recursive formulas must always state the initial term, or terms, of the sequence.
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
A First Course in Probability (10th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Elementary Statistics
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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