​Let the positive numbers a₁, a₂, a₃, ...., a_3nbe in GP. If P is the GM of a1, a2, a3, ...., a_nand Q is the GM of a_n+1, a_n+2, a_n+3, ..., a_3n, then what is the GM of 3n numbers?​

Correct option is D

Formula Used:

GM of n numbers a₁, a₂....a_n = (a₁a₂a₃...a_n)^1/n

Solution:

Let, n = 1

Positive numbers become a₁, a₂, a₃ which are in GP

According to the question, P is the GM of a₁, a₂, a₃

Therefore,