Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter SH, Problem 3.15EP
To determine

To find nth term of the arithmetic sequence 3, 3.5, 4, 4.5 ...... .

Expert Solution & Answer
Check Mark

Answer to Problem 3.15EP

  an=0.5n+2.5

  a5=5

Graph:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter SH, Problem 3.15EP , additional homework tip  1

Explanation of Solution

Given information:

The sequence 3, 3.5, 4, 4.5 ...... .

Formula used:

  an=a+(n1)d

d is common difference of the arithmetic sequence

where as,

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter SH, Problem 3.15EP , additional homework tip  2is the nth term of the arithmetic sequence

a is first term in arithmetic sequence

And,

d is common difference of the arithmetic sequence

Calculation:

The sequence 3, 3.5, 4, 4.5 ...... .

  First term, a1=3

  Second term, a2=3.5

Then,

Common difference is given below

  d=3.5-3

On solving,

  d=0.5.

Then,

Substituting value of a and d in formula to calculate the nth term of the arithmetic sequence

  an=3+(n1)0.5

So,

  =3+0.5n-0.5

On solving,

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter SH, Problem 3.15EP , additional homework tip  30.5n+2.5

Substituting n=5 in equation Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter SH, Problem 3.15EP , additional homework tip  40.5n+2.5 to find 5th term of the sequence

Then,

  an=0.5n2.5

On solving,

  a5=5

Graph of the first five terms of the sequence {3, 3.5, 4, 4.5, 5....}

The sequence can be written as a set of oredered pairs where the first coordinate is the position of the term in the sequence and the second coordinate is the term

  (1 , 3)  (2 , 3.5)  (3 , 4)  (4 , 4.5)  (5 , 5)

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter SH, Problem 3.15EP , additional homework tip  5

Chapter SH Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. SH - Prob. 1.11EPCh. SH - Prob. 1.12EPCh. SH - Prob. 1.13EPCh. SH - Prob. 1.14EPCh. SH - Prob. 1.15EPCh. SH - Prob. 1.16EPCh. SH - Prob. 1.17EPCh. SH - Prob. 1.18EPCh. SH - Prob. 2.1EPCh. SH - Prob. 2.2EPCh. SH - Prob. 2.3EPCh. SH - Prob. 2.4EPCh. SH - Prob. 2.5EPCh. SH - Prob. 2.6EPCh. SH - Prob. 2.7EPCh. SH - Prob. 2.8EPCh. SH - Prob. 2.9EPCh. SH - Prob. 2.10EPCh. SH - Prob. 2.11EPCh. SH - Prob. 2.12EPCh. SH - Prob. 2.13EPCh. SH - Prob. 2.14EPCh. SH - Prob. 2.15EPCh. SH - Prob. 2.16EPCh. SH - Prob. 2.17EPCh. SH - Prob. 2.18EPCh. SH - Prob. 2.19EPCh. SH - Prob. 2.20EPCh. SH - Prob. 2.21EPCh. SH - Prob. 2.22EPCh. SH - Prob. 2.23EPCh. SH - Prob. 2.24EPCh. SH - Prob. 2.25EPCh. SH - Prob. 2.26EPCh. SH - Prob. 2.27EPCh. SH - Prob. 2.28EPCh. SH - Prob. 3.1EPCh. SH - Prob. 3.2EPCh. SH - Prob. 3.3EPCh. SH - Prob. 3.4EPCh. SH - Prob. 3.5EPCh. SH - Prob. 3.6EPCh. SH - Prob. 3.7EPCh. SH - Prob. 3.8EPCh. SH - Prob. 3.9EPCh. SH - Prob. 3.10EPCh. SH - Prob. 3.11EPCh. SH - Prob. 3.12EPCh. SH - Prob. 3.13EPCh. SH - Prob. 3.14EPCh. SH - Prob. 3.15EPCh. SH - Prob. 3.16EPCh. SH - Prob. 3.17EPCh. SH - Prob. 3.18EPCh. SH - Prob. 3.19EPCh. SH - Prob. 3.20EPCh. SH - Prob. 3.21EPCh. SH - Prob. 4.1EPCh. SH - Prob. 4.2EPCh. SH - Prob. 4.3EPCh. SH - Prob. 4.4EPCh. SH - Prob. 4.5EPCh. SH - Prob. 4.6EPCh. SH - Prob. 4.7EPCh. SH - Prob. 4.8EPCh. SH - Prob. 4.9EPCh. SH - Prob. 4.10EPCh. SH - Prob. 4.11EPCh. SH - Prob. 4.12EPCh. SH - Prob. 4.13EPCh. SH - Prob. 4.14EPCh. SH - Prob. 4.15EPCh. SH - Prob. 4.16EPCh. SH - Prob. 4.17EPCh. SH - Prob. 4.18EPCh. SH - Prob. 4.19EPCh. SH - Prob. 4.20EPCh. SH - Prob. 4.21EPCh. SH - Prob. 5.1EPCh. SH - Prob. 5.2EPCh. SH - Prob. 5.3EPCh. SH - Prob. 5.4EPCh. SH - Prob. 5.5EPCh. SH - Prob. 5.6EPCh. SH - Prob. 5.7EPCh. SH - Prob. 5.8EPCh. SH - Prob. 5.9EPCh. SH - Prob. 5.10EPCh. SH - Prob. 5.11EPCh. SH - Prob. 5.12EPCh. SH - Prob. 5.13EPCh. SH - Prob. 5.14EPCh. SH - Prob. 5.15EPCh. SH - Prob. 5.16EPCh. SH - Prob. 5.17EPCh. SH - Prob. 5.18EPCh. SH - Prob. 5.19EPCh. SH - Prob. 5.20EPCh. SH - Prob. 5.21EPCh. SH - Prob. 5.22EPCh. SH - Prob. 5.23EPCh. SH - Prob. 5.24EPCh. SH - Prob. 6.1EPCh. SH - Prob. 6.2EPCh. SH - Prob. 6.3EPCh. SH - Prob. 6.4EPCh. SH - Prob. 6.5EPCh. SH - Prob. 6.6EPCh. SH - Prob. 6.7EPCh. SH - Prob. 6.8EPCh. SH - Prob. 6.9EPCh. SH - Prob. 6.10EPCh. SH - Prob. 6.11EPCh. SH - Prob. 6.12EPCh. SH - Prob. 6.13EPCh. SH - Prob. 6.14EPCh. SH - Prob. 6.15EPCh. SH - Prob. 6.16EPCh. SH - Prob. 6.17EPCh. SH - Prob. 6.18EPCh. SH - Prob. 6.19EPCh. SH - Prob. 6.20EPCh. SH - Prob. 7.1EPCh. SH - Prob. 7.2EPCh. SH - Prob. 7.3EPCh. SH - Prob. 7.4EPCh. SH - Prob. 7.5EPCh. SH - Prob. 7.6EPCh. SH - Prob. 7.7EPCh. SH - Prob. 7.8EPCh. SH - Prob. 7.9EPCh. SH - Prob. 7.10EPCh. SH - Prob. 7.11EPCh. SH - Prob. 7.12EPCh. SH - Prob. 7.13EPCh. SH - Prob. 7.14EPCh. SH - Prob. 7.15EPCh. SH - Prob. 7.16EPCh. SH - Prob. 7.17EPCh. SH - Prob. 7.18EPCh. SH - Prob. 7.19EPCh. SH - Prob. 7.20EPCh. SH - Prob. 7.21EPCh. SH - Prob. 7.22EPCh. SH - Prob. 7.23EPCh. SH - Prob. 7.24EPCh. SH - Prob. 7.25EPCh. SH - Prob. 7.26EPCh. SH - Prob. 7.27EPCh. SH - Prob. 7.28EPCh. SH - Prob. 7.29EPCh. SH - Prob. 7.30EPCh. SH - Prob. 7.31EPCh. SH - Prob. 7.32EPCh. SH - Prob. 7.33EPCh. SH - Prob. 7.34EPCh. SH - Prob. 7.35EPCh. SH - Prob. 7.36EPCh. SH - Prob. 7.37EPCh. SH - Prob. 8.1EPCh. SH - Prob. 8.2EPCh. SH - Prob. 8.3EPCh. SH - Prob. 8.4EPCh. SH - Prob. 8.5EPCh. SH - Prob. 8.6EPCh. SH - Prob. 8.7EPCh. SH - Prob. 8.8EPCh. SH - Prob. 8.9EPCh. SH - Prob. 8.10EPCh. SH - Prob. 8.11EPCh. SH - Prob. 8.12EPCh. SH - Prob. 8.13EPCh. SH - Prob. 8.14EPCh. SH - Prob. 8.15EPCh. SH - Prob. 8.16EPCh. SH - Prob. 8.17EPCh. SH - Prob. 8.18EPCh. SH - Prob. 8.19EPCh. SH - Prob. 8.20EPCh. SH - Prob. 8.21EPCh. SH - Prob. 8.22EPCh. SH - Prob. 8.23EPCh. SH - Prob. 8.24EPCh. SH - Prob. 8.25EPCh. SH - Prob. 8.26EPCh. SH - Prob. 8.27EPCh. SH - Prob. 8.28EPCh. SH - Prob. 8.29EPCh. SH - Prob. 8.30EPCh. SH - Prob. 8.31EPCh. SH - Prob. 8.32EPCh. SH - Prob. 8.33EPCh. SH - Prob. 8.34EPCh. SH - Prob. 8.35EPCh. SH - Prob. 8.36EPCh. SH - Prob. 8.37EPCh. SH - Prob. 8.38EPCh. SH - Prob. 8.39EPCh. SH - Prob. 8.40EPCh. SH - Prob. 9.1EPCh. SH - Prob. 9.2EPCh. SH - Prob. 9.3EPCh. SH - Prob. 9.4EPCh. SH - Prob. 9.5EPCh. SH - Prob. 9.6EPCh. SH - Prob. 9.7EPCh. SH - Prob. 9.8EPCh. SH - Prob. 9.9EPCh. SH - Prob. 9.10EPCh. SH - Prob. 9.11EPCh. SH - Prob. 9.12EPCh. SH - Prob. 9.13EPCh. SH - Prob. 9.14EPCh. SH - Prob. 9.15EPCh. SH - Prob. 9.16EPCh. SH - Prob. 9.17EPCh. SH - Prob. 9.18EPCh. SH - Prob. 9.19EPCh. SH - Prob. 9.20EPCh. SH - Prob. 9.21EPCh. SH - Prob. 9.22EPCh. SH - Prob. 9.23EPCh. SH - Prob. 9.24EPCh. SH - Prob. 9.25EPCh. SH - Prob. 9.26EPCh. SH - Prob. 9.27EPCh. SH - Prob. 9.28EPCh. SH - Prob. 9.29EPCh. SH - Prob. 9.30EPCh. SH - Prob. 9.31EPCh. SH - Prob. 10.1EPCh. SH - Prob. 10.2EPCh. SH - Prob. 10.3EPCh. SH - Prob. 10.4EPCh. SH - Prob. 10.5EPCh. SH - Prob. 10.6EPCh. SH - Prob. 10.7EPCh. SH - Prob. 10.8EPCh. SH - Prob. 10.9EPCh. SH - Prob. 10.10EPCh. SH - Prob. 10.11EP
Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
Sequences and Series Introduction; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=m5Yn4BdpOV0;License: Standard YouTube License, CC-BY
Introduction to sequences; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=VG9ft4_dK24;License: Standard YouTube License, CC-BY