JEE Mathematics · Medium

Sequences and Series: GP condition MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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GP conditionMediumQuestion 210016

Question

If a, b, c are in GP, then:
  1. A
    2b = a + c
  2. B
    b² = ac
    Correct
  3. C
    b = (a+c)/2
  4. D
    a+c = 2b²

Correct answer

b² = ac

Explanation

In a GP, b/a = c/b → b² = ac. This is the condition for three terms to be in GP.