Question

What is the common ratio for the geometric sequence
2. 4.8. 16, ...​

Answer 1

r = 2

Explanation:

`a_n-\text{geometric sequence}\\\\a_1,\ a_2,\ a_3,\ ...,\ a_n-\text{terms of a geometric sequence}\\\\r=(a_2)/(a_1)=(a_3)/(a_2)=(a_4)/(a_3)=\hdots=(a_n)/(a_(n-1))-\text{common ratio}\\\\\text{We have:}\ a_1=2,\ a_2=4,\ a_3=8,\ a_4=16,\ ...\\\\\text{The common ratio:}\\\\r=(4)/(2)=(8)/(4)=(16)/(8)=2`