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 20PPS
To determine

To find:The nth term of the given arithmetic sequence and to graph the first five terms of it.

Expert Solution & Answer
Check Mark

Answer to Problem 20PPS

The nth term of the sequence is an=− 4n−7 and the graph of first five terms is,

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.6, Problem 20PPS , additional homework tip 1

Explanation of Solution

Given information:

The arithmetic sequence is −11  ,  −15  ,  −19  ,  − 23 , ........ .

Concept used:

The nth term of an arithmetic sequence with first term ‘a’ and common difference ‘d’ is an=a+(n−1) d .

Calculation:

Given,

  a=−11   &   d=−15−(−11)=−15+11=− 4

Therefore nth term is,

  an=a+(n−1) d⇒an=−11+(n−1) (− 4)⇒an=− 11−4n+4⇒an=− 4n−7

Now the graph of the first five terms is,

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.6, Problem 20PPS , additional homework tip 2

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Chapter 3.6, Problem 19PPS
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Chapter 3.6, Problem 21PPS

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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