Chapter 4.4, Problem 36E

To determine

To find figure after first figure will both patterns have green star.

Answer to Problem 36E

At 24 figure, both pattern have a green star.

Explanation of Solution

Given information: First pattern repeats green star after every 6 figures. Second pattern repeats green star after every 8 figures

Calculation:

To calculate at how many figures after the first figure will both pattern have a green star. Now calculating their least common multiple.

LCM of 6 = 2 $\times$ 3

LCM of 8 = 2 $\times$ 2 $\times$ 2

LCM = 2 $\times$ 2 $\times$ 2 $\times$ 3

LCM = 24