Sequences and Series: GP Word problem MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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GP Word problemHardQuestion 210027

Question

A ball is dropped from 10 m and bounces to 4/5 of the previous height each time. Total distance travelled is:

A
90 m
Correct
B
100 m
C
80 m
D
50 m

Correct answer

90 m

Explanation

First drop = 10. First bounce up = 8, down = 8; second up = 6.4, down = 6.4 etc. Total = 10 + 2(8 + 8×4/5 + ...) = 10 + 2×8/(1−4/5) = 10 + 2×40 = 90 m.

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