Question

The common ratio of g p 2\5 6\25 18\125 54\625 is a) 2\5 b)5 c)3\5 d)4\5

Answer 1

3/5 is the answer

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Answer 2

c) $\dfrac{3}{5}$ .

The common ratio of given G.P. is $\dfrac{3}{5}$ .

Step-by-step explanation:

We know that the common ratio in of geometric progression is the ratio of the consecutive terms.

In Geometric progression of $a , ar , ar^2 , ar^3 , ...$

Common ratio= $r=\dfrac{ar}{a}$

The given GP = $\dfrac{2}{5} , \ \dfrac{6}{25},\ \dfrac{18}{125},\ \dfrac{54}{625},$

Common ration will be :

$r=\dfrac{\dfrac{6}{25}}{\dfrac{2}{5}}\\\\=\dfrac{6}{25}\times\dfrac{5}{2}=\dfrac{3}{5}$

Hence, the common ratio of given G.P. is $\dfrac{3}{5}$ .

Thus , the correct answer is  c) $\dfrac{3}{5}$ .

# Learn more :

The first terms of two gp are equal , 3rd term of 1st gp and 5th term of 2nd gp are equal.The ratio of 67th term of 1st gp to 133rd term of 2nd gp is ?

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