The windows of a downtown office building are arranged so that each floor has six fewer windows than the floor below it. If the ground floor has 52 windows, how many total windows are on the first eight floors?

1St. = 52 Windows.

2nd = 52 - 6 = 46.
3rd = 46 - 6 = 40.
4th = 40 - 6 = 34.
5th = 34 - 6 = 28.
6th = 28 - 6 = 22.
7th = 22 - 6 = 16.
8th = 16 - 6 = 10.

Total = 52 + 46 + 40 + 34 + 28 + 22 + 16 + 10 = 248 Windows.

What is the sum of a 12–term arithmetic sequence where the last term is 13 and the common difference is –10?

To find the total number of windows on the first eight floors, we need to calculate the number of windows on each floor and then add them together.

Given that the ground floor has 52 windows, we can use this information to find the number of windows on each floor following the pattern described.

Let's calculate the number of windows on each of the first eight floors:

- Ground floor: 52 windows
- First floor: 52 - 6 = 46 windows (6 fewer than the ground floor)
- Second floor: 46 - 6 = 40 windows (6 fewer than the first floor)
- Third floor: 40 - 6 = 34 windows (6 fewer than the second floor)
- Fourth floor: 34 - 6 = 28 windows (6 fewer than the third floor)
- Fifth floor: 28 - 6 = 22 windows (6 fewer than the fourth floor)
- Sixth floor: 22 - 6 = 16 windows (6 fewer than the fifth floor)
- Seventh floor: 16 - 6 = 10 windows (6 fewer than the sixth floor)
- Eighth floor: 10 - 6 = 4 windows (6 fewer than the seventh floor)

Now, let's add up the number of windows on each floor:

52 + 46 + 40 + 34 + 28 + 22 + 16 + 10 + 4 = 252

Therefore, there are a total of 252 windows on the first eight floors.

To find the total number of windows on the first eight floors of the downtown office building, we need to determine the number of windows on each floor and then sum them up.

We know that the ground floor has 52 windows. Since each floor above has six fewer windows than the floor below it, we can calculate the number of windows on each floor.

First, let's find the number of windows on the first floor above the ground floor. Since it has six fewer windows than the ground floor, we subtract 6 from 52:

52 - 6 = 46 windows on the first floor

Now, for each subsequent floor, we subtract six windows from the previous floor:

46 - 6 = 40 windows on the second floor
40 - 6 = 34 windows on the third floor
34 - 6 = 28 windows on the fourth floor
28 - 6 = 22 windows on the fifth floor
22 - 6 = 16 windows on the sixth floor
16 - 6 = 10 windows on the seventh floor
10 - 6 = 4 windows on the eighth floor

Now that we have the number of windows on each floor, we can sum them up to find the total:

52 + 46 + 40 + 34 + 28 + 22 + 16 + 10 + 4 = 252

Therefore, there are 252 total windows on the first eight floors of the downtown office building.