An Ordinary Theatre

Algebra Level 2

In the theatre, the number of seats in every row is four more than the number of seats of the preceding row. If there are 30 seats in the first row, what is the total seating capacity of the theatre if there are 30 rows?


The answer is 2640.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Azadali Jivani
Sep 13, 2015

Seats in the 1st row = 30
Seats in the 30th row = (30 + (30 - 1)(4)) = 146
Total seats in 30 rows = (30/2)(30 + 146) = 2640 (Ans.)

I do remember the formula to find the sum of an arithmetic series, Sn = (n (U1+Un))/2, but I don't know where it's from. Anyone care enough to explain it to me?

Razif FA - 5 years, 8 months ago

Nice one Bro

Leonardo Fajardo - 5 years, 9 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...