Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Sequences and Series/
Question 210023
JEE Mathematics · Medium

Sequences and Series: HP MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
HPMediumQuestion 210023

Question

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

Correct answer

Both A and B

Explanation

H.P. means their reciprocals are in A.P.: 1/a, 1/b, 1/c in A.P. → 2/b = 1/a + 1/c → b = 2ac/(a+c). Both conditions are equivalent.

Review Sequences and Series notesStart timed chapter practice