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📐 Mathematics  ·  Sequences and Series  ·  JEE

In GP 2, 6, 18, 54,..., the common ratio r is:

Answer: 3.

  • A 2
  • B 3
  • C 4
  • D 6

Correct answer: B. 3

Explanation: r = 6/2 = 3 (each term is multiplied by 3).

Each bar grows by the common difference d=3a1=2a2=5a3=8a4=11d=3

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Concept context

Arithmetic progressions, geometric progressions, and sums

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