A multistoried building has a floor area of 2,000 square feet on the ground floor, 1,995 square feet on the 1st floor, 1,990 square feet on the 2nd floor, and so on. If the areas
of the higher floors follow this sequence, what is the expression to calculate the area of the nth floor?
An=(n-1)-5
An=2000-(n-1)
An=an-i-5
An=an-5
An=n-5
If we specify that the ground floor is floor 0,
The area on the nth floor is clearly
An = 2000 - 5n
none of the given choices.
d i v i d e
The floor in Lila's bedroom is 30 square yards. Calculate the area in square feet.
To determine the expression to calculate the area of the nth floor, let's analyze the given information.
We are given that the floor areas follow a sequence where each subsequent floor's area is reduced by 5 square feet compared to the previous floor. Starting from the ground floor with an area of 2,000 square feet, the 1st floor has an area of 1,995 square feet, the 2nd floor has an area of 1,990 square feet, and so on.
To find the general expression for the area of the nth floor, we can use the initial floor area of 2,000 square feet as the starting point.
Let's break down the pattern:
- The ground floor (n = 1) has an area of 2,000 square feet.
- The 1st floor (n = 2) has an area of 2,000 - 5 square feet.
- The 2nd floor (n = 3) has an area of (2,000 - 5) - 5 square feet.
- The 3rd floor (n = 4) has an area of ((2,000 - 5) - 5) - 5 square feet.
Based on this pattern, we can express the area of the nth floor as follows:
An = (A1 - (n - 1) * 5)
Where:
An represents the area of the nth floor.
A1 represents the area of the ground floor (n = 1).
(n - 1) is subtracted from the ground floor area, and multiplied by 5, to reduce the area for each subsequent floor.
Therefore, the expression to calculate the area of the nth floor is An = (2,000 - (n - 1) * 5).