Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.6, Problem 24SR
To determine

Find next three terms of the sequence.

Expert Solution & Answer
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Answer to Problem 24SR

The next three terms are 0.4  ;  1  ;  1.6.

Explanation of Solution

Given:

The sequence: −2  ;  −1.4  ;  −0.8  ;  −0.2  ............

Concept Used:

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one and the result is always the same or constant then it is an arithmetic sequence.

In an Arithmetic Sequence the difference between one term and the next is a constant.

Calculation:

The sequence: −2  ;  −1.4  ;  −0.8  ;  −0.2  ............

Each term in an arithmetic sequence can be expressed in terms of the first term a1 and the common difference d . Since each succeeding term is formulated from one or more previous terms, this is a recursive formula.

First term a1  =  −2 and the common difference: d  =  −1.4−(−2)=−1.4+2=   0.6

    Terms SymbolIn terms of a1 and d Numbers
    Fifth term a5a1+4d−2  +  4  ·  0.6  =  −  2  +  2.4  =  0.4  
    Sixth terma6a1+5d−2  +  5  ·  0.6  =  −  2  +  3  =  1  
    Seventh terma7a1+6d−2  +  6  ·  0.6  =  −  2  +  3.6  =  1 .6 

The next three terms of the sequence −2  ;  −1.4  ;  −0.8  ;  −0.2  ............ are 0.4  ;  1  ;  1.6.

Thus, the next three terms are: 4.26,   5.32,   6.38

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Chapter 3.6, Problem 23SR
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Chapter 3.6, Problem 25SR

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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