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Which of the following list of numbers is/are in Geometric Progressions ?

(A) 6, 12, 24, 48...

(B) 2, 6, 18, 20...

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

(D) 4, 12, 36...

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 4

A GP needs a constant ratio between consecutive terms.

(A) ratio 22 throughout, (C) ratio 33 throughout, (D) ratio 33 throughout, so all three qualify.

(B) gives 6/2=36/2 = 3 and 18/6=318/6 = 3, but 20/18≠320/18 \neq 3, so the ratio breaks at the last term and (B) is not a GP.

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