To identify: How many seats are in the front row of the theater? Write your answer in terms of n, x, and y.
A theater has n rows of seats, and each row has d more seats than the row in front of it. There are x seats in the last (nth) row and a total of y seats in the entire theater.
Explanation:
There are
From (1) see that
Now observe the total number of seats in the entire theater is
The general formula for sum
Put the value of
The front row is the first term of this sequence, so need to determine the term
Put the value of
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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