Question

Determine the seating capacity of an auditorium with 34 rows of seats if there are 16 seats in the first row, 20 seats in the second row, 24 seats in the third row, and so on.

Answer 1

2788

Explanation:

16,20,24,.. This is a arithmetic progression with common difference of 4

Sn=? , d=4 , a =16 , n=34
`Sn=(34)/(2)[2(16)+(34-1)4] \\\\Sn=17[32+33(4)]\\\\Sn=17[164]\\\\Sn=2788`

Answer 2

2788.

Explanation:

This is represented by an arithmetic series with first term 16 and common difference 4.

The number of rows n = 34.

The capacity

= sum of 34 terms

= (34/2)[2*16 + 4(34-1)]

= 2788.