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Geometric mean of terms of a GP

This type of question, asked 2 times: CDS 1 2024, CDS 2 2024. All 2 questions below, oldest first.

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  1. Question 1

    CDS 1 2024

    42
    Let the positive numbers a1,a2,a3,…,a3na_1, a_2, a_3, \ldots, a_{3n} be in GP. If P is the GM of a1,a2,a3,…,ana_1, a_2, a_3, \ldots, a_n and Q is the GM of an+1,an+2,an+3,…,a3na_{n+1}, a_{n+2}, a_{n+3}, \ldots, a_{3n}, then what is the GM of 3n numbers ?

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  2. Question 2

    CDS 2 2024

    22
    What is the geometric mean of 3, 9, 27, 81, 243, 729, 2187 ?

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