Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second terms?
Expert Solution
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Step 1
Given,
![Third term = ɑz = -6
Fourth term = a1 = -9](https://content.bartleby.com/qna-images/answer/61db18d4-1197-4217-ac02-64b499d6b0c1/76e9d3b0-8673-41b4-8215-27ae724ddbb3/bu2drf.png)
Step 2
Now by using nth term of an arithmetic sequence, we have
![an =a+(n-1)d where a is the first term and d is common difference.
Now az =-6
=a+2d =-6 →(1)
and as =-9
%3D
=a+3d = -9 →(2)](https://content.bartleby.com/qna-images/answer/61db18d4-1197-4217-ac02-64b499d6b0c1/76e9d3b0-8673-41b4-8215-27ae724ddbb3/rpneql.png)
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