📐 Mathematics · Sequences and Series · JEE

For positive reals a, b, c the minimum value of (a + b + c)(1/a + 1/b + 1/c) is:

Answer: 9.

Correct answer: C. 9

Explanation: By AM–HM (or Cauchy–Schwarz) the product is at least 9, with equality when a = b = c.

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