Question

The seats at a local baseball stadium are arranged so that each row has 5 more seats than the row below it. If there are 4 seats in the 1st row, how many total seats are there in the first 24 rows?

a) 1,200
b) 1,320
c) 1,428
d) 1,476

Answer 1

To find the total number of seats in the first 24 rows, we add up the number of seats in each row. Each row has 5 more seats than the row before it. So, the total number of seats in the first 24 rows is 1,428.

Step-by-step explanation:

To find the total number of seats in the first 24 rows, we need to add up the number of seats in each row. Starting with the first row, we know there are 4 seats. In the second row, there are 4 + 5 = 9 seats. In the third row, there are 9 + 5 = 14 seats. We can see that each row has 5 more seats than the row before it. So, for each subsequent row, we can add 5 to the number of seats in the previous row. By following this pattern, we can add up the seats in the first 24 rows:

1. Row 1: 4 seats
2. Row 2: 4 + 5 = 9 seats
3. Row 3: 9 + 5 = 14 seats
4. Row 4: 14 + 5 = 19 seats
5. Row 5: 19 + 5 = 24 seats
6. ...
7. Row 24: 94 + 5 = 99 seats

To find the total number of seats in the first 24 rows, we can add up the number of seats in each row:

Total seats = 4 + 9 + 14 + 19 + ... + 99

We can rewrite this as the sum of an arithmetic series:

Total seats = (24/2)(4 + 99) = 1,428