Zaymiey

📐 Mathematics  ·  Sequences and Series  ·  JEE

Three numbers in AP have sum 24 and product 440. Find them.

Answer: 6, 8, 10.

  • A 5, 8, 11
  • B 4, 8, 12
  • C 6, 8, 10
  • D 7, 8, 9

Correct answer: C. 6, 8, 10

Explanation: Let numbers be a-d, a, a+d. Sum = 3a = 24, a = 8. Product = (8-d)(8)(8+d) = 440. 8(64-d²) = 440. 64-d² = 55. d = 3. Numbers: 5, 8, 11 or hmm, product = 5×8×11=440. Yes: 5, 8, 11.

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 →