Question

Find the common ratio of the sequence.-164,-82,-41,-20.5​

Answer 1

1/2

Step-by-step explanation:

Answer 2

1/2

Step-by-step explanation:

Given a certain sequence of number,

`a_n`

The common ratio of the sequence is rhe ratio between two consecutive numbers of the sequence, namely:

`r=(a_(n+1))/(a_n)`

In this problem, the sequence contains the numbers:

-164, -82, -41, -20.5

We can calculate the common ratio by taking the 1st and 2nd number; we have:

`a_n=-164\\a_(n+1)=-82`

Therefore, the common ratio is:

`r=(-82)/(-164)=(1)/(2)`

And we can easily verify that this ratio is valid also for the other numbers in the sequence:

`r=(-41)/(-82)=(1)/(2)\\r=(-20.5)/(-41)=(1)/(2)`