Question

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? (2 points)

248
376
496
584

Answer 1

248 is your answer

Explanation:

Answer 2

The given situation is an arithmetic sequence with the first term equal to 52 and has a common difference of -6. The formula for the summation (S) of the terms in arithmetic sequence is

S = (n/2) x (2a1 + (n - 1) d)

where n is the number of term, a1 the first term, and d the common difference.

Substitute the given from the problem,

S = (8/2) x ( (2)(52) + (8 - 1)(-6))

S = 248

Therefore, there are 248 windows on the first eight floors. The answer is letter A. 248