a stadium has 75 rows starting with 200 seats in the first row. Each successive row has two additional seats. How many seats are in the 50th row?
200+49*2
To find the number of seats in the 50th row, we can use the information given:
1. Start with the number of seats in the first row: 200.
2. Each successive row has two additional seats.
We can create a pattern to figure out the number of seats in each row:
Row 1: 200 seats
Row 2: 200 + 2 seats
Row 3: 200 + 4 seats
Row 4: 200 + 6 seats
...
Notice that for each row, the number of additional seats increases by 2. So, for the nth row:
Number of seats = 200 + (n - 1) * 2
Now, we just need to substitute n = 50 into the formula:
Number of seats in the 50th row = 200 + (50 - 1) * 2
= 200 + 49 * 2
= 200 + 98
= 298.
Therefore, there are 298 seats in the 50th row.