SOLUTION: I really need help!!!!! A theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seat per row for a total of 26 rows .How many seats are there in t

Algebra ->  Trigonometry-basics -> SOLUTION: I really need help!!!!! A theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seat per row for a total of 26 rows .How many seats are there in t      Log On


   



Question 406254: I really need help!!!!!

A theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seat per row for a total of 26 rows .How many seats are there in the theater.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Question relates to a Arithmetic Sequence {30,32,34...} where d = 2
and the terms are the enumber of seats in each row.
S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29 |Sum of the seats in the 26 rows.
S%5B26%5D=%2826%2F2%29%282%2A30%2B+%2825%292%29 = 1430 seats in the ALL 26 rows