
Concept explainers
Write an equation for the nth term of the arithmetic sequence a11=78; d=− 9, Find an

Answer to Problem 64PPS
an= 177−19n
Explanation of Solution
Given:
The Information: a11=78; d=− 9, Find an
Concept Used:
The general equation for the nth term of arithmetic sequence is an=a1+(n−1) · d
Given: The Information: a11=78; d=− 9, Find an
Calculation:
Given: The Information: a11=78; d=− 9, Find an
a11=78; d=− 9, find a1an=a1+(n−1) · da11=a1+(11−1) · (−9)78=a1−9078+90=a1−90+90a1=168
a1=168; d= −9 ,find anan=a1+(n−1) · dan=168+(n−1) · −9 an= 168 −9n+9 = 177−19nan= 177−19n
Thus, the nth term of the sequence is an= 177−19n
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Glencoe Algebra 2 Student Edition C2014
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