SOLUTION: A theater has 40 rows with 26 seats in the first​ row, 31 in the second​ row, 36 in the third​ row, and so forth. How many seats are in the​ theater?
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Question 1113288: A theater has 40 rows with 26 seats in the first row, 31 in the second row, 36 in the third row, and so forth. How many seats are in the theater? Answer by mananth(16946) (Show Source):
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A theater has 40 rows with 26 seats in the first row, 31 in the second row, 36 in the third row, and so forth.
There is an arithmetic sequence in seats arrangement.
first term a = 26
difference = 5 ( between consecutive rows)
number of rows =40
Total seats = Sn sum of all terms
Use formula for sum of n terms
Plug the values and get the total seats =4940 seats
