Question

Drag and drop the expressions into the correct locations.

Perry buys a bag of 20 carrots on the first day. The second day, he eats half of the bag. Each day after, he eats half of what is left in the bag. Create a sequence formula that describes the number of carrots Perry will have on any given day.

(1 point)

Answer 1

Let a_n be the number of carrots on day n (day 1 is the purchase). Then

a_n = 20*(1/2)^(n-1), for n = 1,2,3,...

(Equivalently: a_1 = 20 and a_n = (1/2)·a_{n-1}.)