Concept explainers
To graph first four terms of the sequence with given description
Also write recursive and explicit rule
Answer to Problem 38E
First four terms of sequence are
Recursive rule of the sequence
Explicit rule of the sequence
Graph of the sequence
Explanation of Solution
Given information:
The first term of the sequence is 19. Each term of the sequence is 13 less than the preceding term.
Concept used:
Recursive equation for an arithmetic sequence is
Recursive equation for a geometric sequence is
Equation of explicit rule for arithmetic sequence is given by
Equation of explicit rule for geometric sequence is given by
Given first term of the sequence is 19
This means
Also given each term of the sequence is 13 less than the preceding term.
This means common difference
Therefore,
Other three terms of sequence are
Hence,
First four terms of sequence are
Graph of this sequence is given below (plot points
The sequence is a discrete function. So, the points are not connected by line
Recursive equation
Explicit equation
Chapter 6 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education