Question

Kathy has an orange tree in her front yard. The oranges are beginning to ripen. The first day, Kathy picks 2 oranges. The second day, Kathy picks 4 oranges. The third day, Kathy picks 6 oranges. If this pattern continues, how many oranges does Kathy pick on the sixth?

Answer 1

Answer:

12

Step-by-step explanation:

She starts by picking 2 oranges on the first day. Then, each day she picks two more than on the previous day.

2, 4, 6, 8, 10, 12

Answer: 12

Answer 2

So far, we know:

First day:  2 oranges

Second day:  4 oranges

Third day:  6 oranges

Thus, every day Kathy picks 2 more oranges than the previous day.  Let's continue the pattern:

Fourth day:  8 oranges

Fifth day:  10 oranges

Sixth day:  12 oranges

Another pattern you might notice is that the number of oranges picked each day is double the number on that day.  For example, on day 4, 8 oranges are picked (2*4 = 8), and on day 2, 4 oranges are picked (2*2 = 4).