Question

Find the common ratio for the following geometric sequence. 0.75,1.5,3,6,...

Answer 1

2

Explanation:

`\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...\ ,\ a_n\ \text{is a geometric series, then}\\\\(a_2)/(a_1)=(a_3)/(a_2)=(a_4)/(a_3)=...=(a_n)/(a_(n-1))=r=constant`

`\text{We have}\ 0.75,\ 1.5,\ 3,\ 6,\ ...\\\\\text{The common ratio}\ r:\\\\(1.5)/(0.75)=2\\\\(3)/(1.5)=2\\\\(6)/(3)=2\\\\\boxed{r=2}`