Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Sequence and Series
A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.
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Chapter 3.5, Problem 7CYU
To determine

Write a function to represent the arithmetic sequence and then graph the function.

Expert Solution & Answer
Check Mark

Answer to Problem 7CYU

The function is: fn=55n+525

Explanation of Solution

Given: The arithmetic sequence is 525,   580,   635,   690…….

Concept Used:

The arithmetic sequence is 525,   580,   635,   690…….

Find the common difference and then find the nth term of this sequence.

Formula for nth term is the function of this sequence.

Calculation:

The arithmetic sequence is 525,   580,   635,   690…….

  a1  = 525    a2=   580  a3    =  690 

Find the common difference: d=  a2−  a1  =  580−525=55   or    d   =  a3−  a2 =   690−585=55 

Write the equation for the nth term of an arithmetic using the first term 580(note 525=n0 ) and common difference 55.

  a1  =  580;   and   d=55

  an  =  a1  +  (n−1) d                      Formula  for  the  nth  term an  =   585    +  (n−1  )  ·  55               a1=580   and   d  =  55an  =   585   +55n  −55                       Distributive  Propertyan  =   55n +525                                       Simplify.

Formula for nth term and the function is same.

So, the function is: fn=55n+525

The points to graph are represented by (n,  fn) . So, the first four points are (0,525),   (1,580),   (2,635),   (3,690)

    The function is: fn=55n+525

    The four points on the graph

    (0,525),   (1,580),   (2,635),   (3,690)

    		Algebra 1, Chapter 3.5, Problem 7CYU

Thus, the function is: fn=55n+525

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Chapter 3.5, Problem 6CYU
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Chapter 3.5, Problem 8PPS

Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
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Prob. 15HPCh. 3.6 - Prob. 16HPCh. 3.6 - Prob. 17HPCh. 3.6 - Prob. 18HPCh. 3.6 - Prob. 1ACYPCh. 3.6 - Prob. 1BCYPCh. 3.6 - Prob. 1CCYPCh. 3.6 - Prob. 2ACYPCh. 3.6 - Prob. 2BCYPCh. 3.6 - Prob. 19STPCh. 3.6 - Prob. 20STPCh. 3.6 - Prob. 21STPCh. 3.6 - Prob. 22STPCh. 3.6 - Prob. 23SRCh. 3.6 - Prob. 24SRCh. 3.6 - Prob. 25SRCh. 3.6 - Prob. 26SRCh. 3.6 - Prob. 27SRCh. 3.6 - Prob. 28SRCh. 3.6 - Prob. 29SRCh. 3.6 - Prob. 30SCh. 3.6 - Prob. 31SCh. 3.6 - Prob. 32SCh. 3.6 - Prob. 33SCh. 3.6 - Prob. 34SCh. 3.6 - Prob. 35SCh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 15QCCh. 3 - Prob. 16QCCh. 3 - Prob. 17QCCh. 3 - Prob. 18QCCh. 3 - Prob. 19QCCh. 3 - Prob. 20QCCh. 3 - Prob. 21QCCh. 3 - Prob. 22QCCh. 3 - Prob. 23QCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - 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