JEE Mathematics · Medium

Sequences and Series: AP condition MCQ

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

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AP conditionMediumQuestion 210009

Question

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

Correct answer

2b = a + c

Explanation

In an AP, the middle term equals the average of its neighbours: b − a = c − b → 2b = a + c.