An auditorium has 40 seats in its first row. Each row after has 2 additional seats than the row before. Find the number of seats in the 75th row.

188 seats

Step-by-step explanation:

First row = 40 seats

Each row after = 2 additional seats

This is an arithmetic progressive question

Therefore,

First term, a = 40

Common difference, d = 2

Find the number of seats in the 75th row.

Number of seats in the 75th row = a + (n-1)d

= a + (75-1)d

= a + 74d

= 40 + 74(2)

= 40 + 148

= 188 seats

Number of seats in the 75th row = 188 seats