Question

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

Answer 1

r=0.6

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=(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.