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📐 Mathematics  ·  Sequences and Series  ·  JEE

A ball dropped from 10 m bounces 3/5 of previous height. Total distance travelled:

Answer: 50 m.

  • A 30 m
  • B 35 m
  • C 40 m
  • D 50 m

Correct answer: D. 50 m

Explanation: Total distance = 10 + 2 × [10 × (3/5)/(1-3/5)] = 10 + 2 × [6/(2/5)] = 10 + 2 × 15 = 40. Wait: 10 + 2 × [6+18/5+...] = 10 + 2 × 6/(1-3/5) = 10 + 2×15 = 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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