Question

The windows of a downtown office building are arranged so that each floor has 6 fewer windows than the floor below it . If the ground floor has 52 windows, how many windows are on the 8th floor ? A. 10 B. 8 C. 4 D. 6

Answer 1

The correct answer is 10 windows are on the eighth floor

Explanation:

First floor 52

Second floor 52 - 6 = 46

Third Floor 46 - 6 = 40

Forth floor 40 - 6 = 34

Fifth floor 34 - 6 = 28

Sixth floor 28 - 6 = 22

Seventh floor 22 - 6 = 16

Eighth floor 16 - 6 = 10

Answer 2

The given situation described above is that of an arithmetic sequence with first term (a1) equal to 52 and common difference (d) equals -6. To find the nth term, use the equation,
an = (a1) + (n - 1)(d)
Subsitutitng the known values,
a8 = 52 + (8 - 1)(-6)
The answer to a8 from the equation is 10.