A school cafeteria sold 1,600 slices of pizza the first week, 800 the second week, 400 the third week if this patter continues, in what week will the cafeteria sell 50 slices? Explain your anwser

6th week.

Step-by-step explanation:

Each week he is selling 1/2 of the week before so

In the 3rd week he sells 400

- in the 4th week it will be 200

- in 5th week 100

- in 6th seek 50.

Answer: 6th week

Step-by-step explanation:the number of weeks is moving in a geometric proportion

Remember Tn = ar^n-1

Tn = 50, r = 800/1600 = 1/2, a = 1600

So 50 = 1600 * 1/2^ n-1

50/1600 = 1/2^ n-1

1/32 = 1/2^ n-1

2^ - 5 = 2^ - n+1

Equating powers

-5 = - n + 1

-n = - 6

n = 6