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Problem Solving (PS) | Re: A quantity increases in a manner such that the ratio of its values in

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Bunuel wrote:

A quantity increases in a manner such that the ratio of its values in any two consecutive years is constant. If the quantity doubles every 6 years, by what factor does it increase in two years?


A. 4

B. 2

C. \(\sqrt{2}\)

D. \(\sqrt[3]{2}\)

E. \(\frac{1}{2}\)


a, ak, ak^2, ak^3, ak^4, ak^5 and ak^6
Now, ak^6 = 2*a
So, k^6 = 2,

Now required= ak^2/a = k^2
k^6 = 2
=> k^2 = (2)^(1/3)
...

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