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Which of the following list of numbers is/are in Geometric Progression (GP)?

(A) 6, 18, 54, 162...

(B) 2, 6, 18, 25...

(C) 3, 9, 27, 81...

(D) 4, 12, 36, 108, ...

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 4

A GP has a constant ratio between consecutive terms. In (A), (C) and (D) each term is exactly 33 times the previous one. In (B), 62=3\frac{6}{2} = 3 and 186=3\frac{18}{6} = 3, but 2518≠3\frac{25}{18} \neq 3, so (B) breaks the pattern.

Hence (A), (C) and (D).

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