Asked by shane
in the auditorium there are 24 rows of seats. the first second rows have 8 chairs and the third and fourth rows have 10 chairs.if this pattern continues.how many chairs are in the auditorium?
Answers
Answered by
Steve
Since the rows come in pairs, the sequence looks like
8 8 10 10 12 12 ...
SO, considering the nth pair of rows, they have 12+4n seats together.
In 24 rows, there are 12 pairs, so
the 12th pair has 12+48 = 60 seats
the sum is
12/2 (8+60) = 6*68 = 408 seats
8 8 10 10 12 12 ...
SO, considering the nth pair of rows, they have 12+4n seats together.
In 24 rows, there are 12 pairs, so
the 12th pair has 12+48 = 60 seats
the sum is
12/2 (8+60) = 6*68 = 408 seats
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