Question

The number of seats in each row of an auditorium increases by 2 from one row to the next. if there are 48 seats in the first row, how many seats are there in the 60th row?

Answer 1

Let's see if we can find a pattern:

Row number 1 has
`48 = 48 + 2\cdot 0` seats

Row number 2 has
`50 = 48 + 2\cdot 1` seats

Row number 3 has
`52 = 48 + 2\cdot 2` seats

Row number 4 has
`54 = 48 + 2\cdot 3` seats

Can you see the pattern? After
`n` rows, we have added
`2(n-1)` seats.

So, the 60th row will have

`48 + 2\cdot 59 = 48 + 118 = 166`