A bean sprout grows 3 inches in its first week, 2 inches in its second week, and 1.333 inches in its third week. If the sprout's growth follows this pattern, how much will the bean sprout have grown in its fourth week?

0.8889 inches

How did you arrive at that answer?

Each week it grew 2/3 (0.667) less than the week before.

3 * (2/3) = 2
2 * (2/3) = 1.3333

To find out how much the bean sprout will have grown in its fourth week, we need to observe the pattern in its growth.

In the given data, we can notice that the growth of the bean sprout decreases by 1 inch each week. In the first week, it grows 3 inches, in the second week, it grows 2 inches, and in the third week, it grows 1.333 inches.

So, to find the growth in the fourth week, we subtract 1 inch from the growth of the previous week. In this case, the growth in the third week is 1.333 inches, so we subtract 1 from it.

1.333 inches - 1 inch = 0.333 inches

Therefore, the bean sprout will have grown approximately 0.333 inches in its fourth week.