a sequence begins with 0, 5, ... select the next three terms in the sequence if each term is twice the…

Explanation:

Step1: Identify the first - term and the rule

The first term $a_1 = 0.5$, and the rule is $a_{n}=2a_{n - 1}$ for $n>1$.

Step2: Find the second term

Using the rule $a_{2}=2a_{1}$, substituting $a_{1}=0.5$, we get $a_{2}=2\times0.5 = 1$.

Step3: Find the third term

Using the rule $a_{3}=2a_{2}$, substituting $a_{2}=1$, we get $a_{3}=2\times1 = 2$.

Step4: Find the fourth term

Using the rule $a_{4}=2a_{3}$, substituting $a_{3}=2$, we get $a_{4}=2\times2 = 4$.

Answer:

1, 2, 4