Question

Aimee started a business making picture frames. On the first day that she was in business, she made 3 picture frames. She then increased the number made by 2 per day. Which recursive sequence correctly shows the number of picture frames that Aimee made after n days?

A. a0 = 3, an = an-1 + 2
B. a1 = 3, an = an-1 + 2
C. a0 = 3, an = an + 2
D. a0 = 3, an = 7 + 2n

Answer 1

The correct recursive sequence is a0 = 3, an = an-1 + 2.

Step-by-step explanation:

The correct recursive sequence that shows the number of picture frames Aimee made after n days is option A. a0 = 3, an = an-1 + 2.

This recursive sequence means that on the first day, Aimee made 3 picture frames. And for each subsequent day, she made 2 more picture frames than the previous day. So, to find the number of picture frames made on any given day (n), we add 2 to the number of picture frames made on the previous day.