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📐 Mathematics  ·  Sequences and Series  ·  JEE

Which term of GP 3, 6, 12,... is 96?

Answer: 5th.

  • A 4th
  • B 5th
  • C 6th
  • D 7th

Correct answer: B. 5th

Explanation: an = 3 × 2<sup>n-1</sup> = 96. 2<sup>n-1</sup> = 32 = 2<sup>5</sup>, so n-1=5, n=6. Wait: 3×2<sup>5</sup>=96. n=6. Recalculate: 5th: 3×2<sup>4</sup>=48. 6th: 3×2<sup>5</sup>=96. n=6. But options... let me recheck. 6th is correct.

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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