Question

find the common ratio of the sequence -172 -86 -43 -21.5

Answer 1

to find the common ratio, divide the second term by the first term.
-86/-172 = 1/2

so 1/2 is ur common ratio

Answer 2

Answer:

common ratio between successive terms in the sequence is $\frac{1}{2}$

Step-by-step explanation:

Common ratio(r) defined as the ratio of a term to the previous term.

also common ratio term is constant.

Given the sequence:

-172 -86 -43 -21.5

⇒$a_1 = -172$

$a_2 = -86$

$a_3 = -43$

$a_4 = -21.5$

Then by definition of common ratio:

$r = \frac{a_2}{a_1}=\frac{a_3}{a_2}=\frac{a_4}{a_3}$

Substitute the given values we have;

$r = \frac{-86}{-172} = \frac{-43}{-86}=\frac{-21.5}{-43}$

⇒$r = \frac{1}{2}$

Therefore,  the common ratio between successive terms in the sequence is $\frac{1}{2}$