If the 3rd term of a GP is 12 and the 6th term is 96, then the common ratio is:

1. A 2 Correct answer
2. B 3
3. C 4
4. D 8

Solution

a₃ = ar² = 12; a₆ = ar⁵ = 96. Dividing: ar⁵/ar² = r³ = 96/12 = 8 → r = 2.

About this question

Subject: Mathematics · Chapter: Sequences and Series · Topic: Geometric Progression

This question is part of PrepWiser's free JEE Main question bank. 16 more solved questions on Sequences and Series are available — start with the harder ones if your accuracy is >70%.

More Sequences and Series questions

• Easy TRUE_FALSE

  The sum of first n odd numbers is n².

• Easy INTEGER

  The sum of cubes of first n natural numbers is $x$.

• Easy MCQ

  The sum 1² + 2² + 3² + ... + n² is:

• Easy MCQ

  The sum 1 + 2 + 3 + ... + n is:

• Easy TRUE_FALSE

  If a, b, c are in HP, then a, b, c are also in GP.