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
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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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Question
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Chapter 3.6, Problem 37PFA
To determine

To Find: The first three terms of an arithmetic progression.

Expert Solution & Answer
Check Mark

Answer to Problem 37PFA

  f(1)=12f(2)=15f(3)=18

Explanation of Solution

Given information:

  nth term of an arithmetic progression is f(n)=9+3n

Concept and Formula Used:

Arithmetic Sequence: The sequence with difference between successive terms is constant.

  nth term of an arithmetic progression is an=a+(n−1)d

Where ‘a’ is the first term and ‘d’ is the common difference.

Calculation:

It is given that nth term of an arithmetic progression is f(n)=9+3n

To find the first three terms put the value of

  n=1,2&3f(n)=9+3nf(1)=9+3(1)=9+3=12f(2)=9+3(2)=9+6=15f(3)=9+3(3)=9+9=18

Conclusion:

  f(1)=12f(2)=15f(3)=18

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Chapter 3.6, Problem 36HP
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Chapter 3.6, Problem 38PFA

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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SEE MORE TEXTBOOKS
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