Zaymiey

📐 Mathematics  ·  Sequences and Series  ·  JEE

If AM of two positive numbers is 5 and HM is 4, their GM is:

Answer: 2√5.

  • A 2√3
  • B 2√5
  • C 3√2
  • D 5

Correct answer: B. 2√5

Explanation: Key relation: GM² = AM × HM (always true for positive numbers). GM² = 5 × 4 = 20. GM = √20 = 2√5.

Each bar grows by the common difference d=3a1=2a2=5a3=8a4=11d=3

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

Read the full Sequences and Series notes →