Question

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

Answer 1

Solution: We are given:

The first week, Bean sprout grows 3 inches

The second week, Bean sprout grows 2 inches

The third week, Bean sprout grows 1.333... inches

Bean sprout follows a particular each week. Every week it grew 2/3 (0.667) less than the week before.

For the first week it was 3 inches, for the second week it was $3 \times \frac{2}{3}=2$ inches, for the third week it was $2 \times \frac{2}{3}=1.333...$ and therefore, for the fourth week it will be $1.333333 \times \frac{2}{3}=0.8889$

Therefore, bean sprout have grown 0.8889 inches in its fourth week.