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?
Algebra.Com
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): You can put this solution on YOUR website!
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
RELATED QUESTIONS
A theater has 40 rows with 30 seats in the first row, 33 in the second row, 36 in the... (answered by Fombitz)
A theater has 38 rows with 23 seats in the first row,26 in the second row,29 in the third (answered by josmiceli)
a theater has 36 rows with 21 seats in the first row, 24 in the second row, 27 in the... (answered by robertb)
A theater has 37 seats in the first row, 41 seats in the second row, 45 seats in the... (answered by jim_thompson5910)
A theater has 45 seats in the first row, 49 in the second row, 53 seats in the third row... (answered by josmiceli)
I really need help!!!!!
A theater has 30 seats in the first row, 32 seats in the... (answered by ewatrrr)
a conference hall has 20 rows of seats .the first row contains 20 seats,the second row... (answered by ikleyn)
An audio-visual room (AVR) at Adamson University has 7 seats on the first row, 10 on the... (answered by math_tutor2020)
A field house has a section where the seating can be arranged so the first row has 9... (answered by ikleyn)