SOLUTION: A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd and so on, how many seats are there in all?

Algebra ->  Sequences-and-series -> SOLUTION: A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd and so on, how many seats are there in all?       Log On


   

Question 919633: A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd and so on, how many seats are there in all?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Arithmetic Sequence
rows ---------32-n
first term ------------26-----------a
d---------------------------4

Sn = n/2( 2a+(n-1)d)
=32/2 (2*26+(31)4)
=16(52+124)
=16(176)
=2816 seats