Question

What is 6,3.6,2.16,1.296,...
a common ratio of r

Answer 1

Answer:

r=0.6

Step-by-step explanation:

Consider geometric sequence

$b_1=6,\\ \\b_2=3.6,\\ \\b_3=2.16,\\ \\b_4=1.296,...$

In geometric sequence

$b_i=b_{i-1}\cdot r,$

then

$b_2=b_1\cdot r$

and

$3.6=6r,\ r=\dfrac{3.6}{6}=0.6.$

Note that

$2.16=3.6\cdot 0.6,\\ \\1.296=2.16\cdot 0.6.$

This means that ratio r=0.6.