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29 Jan 2024, 02:30
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C
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Difficulty:
45%
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Question Stats:
75% (02:13) correct
25%
(02:33)
wrong
based on 622
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In a certain theater, the first row has 8 seats, and each subsequent row has 2 more seats than the row before it. If the last row has 56 seats, what is the total number of seats in the theater?
A. 640
B. 720
C. 800
D. 1,000
E. 1,240
A. 640
B. 720
C. 800
D. 1,000
E. 1,240
In a certain theater, the first row has 8 seats and the next row has 2 more seats than pre row. If the last row has 56 seats, what is the total number of seats?
29 Jan 2024, 05:01
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IMO it's (C)
it will be sequence like 8,10,12......56.
8+2(n-1) where n=1,2,3....so on
8+2(n-1) = 56
n = 25
hence no of terms are 25 and further they are equally distributed hence sum = 25*(8+56)/2 = 800
it will be sequence like 8,10,12......56.
8+2(n-1) where n=1,2,3....so on
8+2(n-1) = 56
n = 25
hence no of terms are 25 and further they are equally distributed hence sum = 25*(8+56)/2 = 800
General Discussion
04 May 2025, 21:16
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In a certain theater, the first row has 8 seats, and each subsequent row has 2 more seats than the row before it. If the last row has 56 seats, what is the total number of seats in the theater?
Since each row has 2 more seats than the row before it, we have an equally spaced set of numbers.
The average of an equally spaced set of numbers is the average of the first and last number.
Average Number of Seats in a Row = (56 + 8)/2 = 32
Sum = Average × Number
Number of Rows = (56 - 8)/2 + 1 = 25
Sum = 32 × 25 = 800
A. 640
B. 720
C. 800
D. 1,000
E. 1,240
Correct answer: C
Since each row has 2 more seats than the row before it, we have an equally spaced set of numbers.
The average of an equally spaced set of numbers is the average of the first and last number.
Average Number of Seats in a Row = (56 + 8)/2 = 32
Sum = Average × Number
Number of Rows = (56 - 8)/2 + 1 = 25
Sum = 32 × 25 = 800
A. 640
B. 720
C. 800
D. 1,000
E. 1,240
Correct answer: C
