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📐 Mathematics  ·  Sequences and Series  ·  JEE

If AM = 25 and GM = 20, find the two numbers.

Answer: 10 and 40.

  • A 10 and 40
  • B 15 and 35
  • C 5 and 45
  • D 20 and 30

Correct answer: A. 10 and 40

Explanation: a+b = 50, ab = 400. x² - 50x + 400 = 0. (x-10)(x-40) = 0. Numbers: 10 and 40.

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

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