Geometric constraint

Algebra Level pending

Let G n G_n denote the n th n^\text{th} term of geometric progression with G 2016 G 2017 G_{2016} \ne G_{2017} , then which of the following statements can be true?

(A) : { G 3 , G 6 , G 9 } \{ G_3, G_6, G_9 \} follows a geometric progression.
(B) : { G 10 , G 25 , G 40 } \{ G_{10}, G_{25}, G_{40} \} follows a geometric progression.
(C) : { G 21 , G 34 , G 55 } \{ G_{21}, G_{34}, G_{55} \} follows a geometric progression.
(D) : { G 10 , G 11 , G 12 } \{ G_{10}, G_{11}, G_{12} \} follows a geometric progression.

(A), (B) and (D) only (A) and (D) only (D) only (A), (B), (C) and (D)

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