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

What do you think?? How would you frame the equation??

Answer 2

1st floor-52 windows

how many windows on the 2nd floor?

Answer 3

46 ?

Answer 4

Yes on 2nd floor , how many??

Answer 5

46 windows ?

Answer 6

s_b and I are trying to help. we could give you the answer but that wouldn't really help you to learn

Answer 7

Sorry I meant the 3 rd floor how much??

Answer 8

i know ?

Answer 9

40 windows on the 3rd floor ?

Answer 10

@thomasj ground floor has 52 windows, not first floor :P

Answer 11

sorry. you are right.

Answer 12

but wouldnt it be 64 windows on the 3rd floor since is says the ground floor has 52 windows and it says that every window has 6 fewer than the one below it,?

Answer 13

so you would coubt up since there arent any floors below ground floor?

Answer 14

See you are saying. I had 6 chocolates earlier. Now I have 1 chocolate lesser , how many chocolates do I have now?? You are saying 7 . which is wrong.

Answer 15

so you would subtract from 52?

Answer 16

Yes exactly. Now tell me how do you get 46 windows. Show me subtraction procedure. Also for 2nd floor

Answer 17

52-6 = 46 windows on 1st floor

Answer 18

use the sum of an arithmetic series a = 52 n = 9 and d = 6

Answer 19

On 2nd floor ??

Answer 20

40 on second floor

Answer 21

I mean the subtraction procedure..

Answer 22

46-6 = 40

Answer 23

Or 52- 2(6) = 40

Answer 24

So basically it is an Arithmetic progression as @campbell_st said which is having a=52 , d = 6. Now what would be n???

Answer 25

9?

Answer 26

Sorry it is d = -6.

Answer 27

use the term in an arithmetic\[T _{8}= 52 + (*-1)\times-6\] series where a = 52, n = 8\[t _{8} = 52 - (8 -1)\times -6\] and d= -6

Answer 28

why -6 ? is it because your subtracting ?

Answer 29

@CCarmichael18 , yes you are right. Now use the formula I told you in the previous sum and tell me the answer

Answer 30

the answer is 10 ?

Answer 31

a8= 10 windows

Answer 32

oops n = 9.... its G to 8 = 9

Answer 33

there are 10 windows on floor 8

Answer 34

No there are 4 windows. n= 8

Answer 35

oh okay, thank you

Answer 36

Welcome :) and thanks to @campbell_st and @thomasj

Answer 37

the answer is 10.. 100% sure , just took the quiz ,

use the formula a8=52(8-1)= -6
a8=52-42
a8=10

10 windows are on the eighth floor .. message me if anyone need help :)

Answer 38

THE ANSWER IS "10". HERES THE WORK BELOW...
lol it took me a while to do this :)