Question

the common ratio of gp 3,-6,12 -24,48 ...... is​

Answer 1

common ratio (r) = a2/a1

where a2 is second term and a1 is first term

given first term (a) = 3 , second term = -6

=> r = -6/3 = -2

Answer 2

The common ratio of gp 3,-6,12 -24,48 is -2

Step-by-step explanation:

We know that if

$a_1,a_2,a_3,a_4,......$ are terms of a GP (geometric Progression), then common ratio of the GP is given by

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

In other words, if we divide the succeeding term by its previous term we get the common ratio of a GP

Here, given the GP

$3,-6,12,-24,48,...$

The common ratio will be

$r=\frac{-6}{3}=-2$

Hope this answer is helpful.

Know More:

Q: Find the first term of GP whose common ratio is 3 last term is 486 and sum of whose terms is 728.

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