Question

A theater has 24 rows of seats. There are 16 seats in the first row and each successive row increases by 2 seats, 1 on each side.
a) calculate the number of seats in the 24th row.
b) calculate the number of seats in the whole theater.

Please show work!

Answer 1

The attached file shows the formulas you need.

http://www.regentsprep.org/Regents/math/algtrig/ATP2/ArithSeq.htm

Answer 2

a) calculate the number of seats in the 24th row.
a sub 24 = 16 + (24 - 1)*2 = 62 seats n the 24 the row
b) S sub 24 = 24 ( 16 + 24) / 2 = 12* 40 = 480 seats total
Check my work, please.

Answer 3

Sorry for getting back to you so late, everything looks good!

Answer 4

Thanks.