Question

A ball was dropped from the height of 32 m. Every time it bounced up it reached half of its previous height. Billy caught the ball just after it touched the ground for the fifth time. How many metres in all did the ball pass?

Answer 1

geometric sequence right?

Answer 2

wait what is that?

Answer 3

it's not?

Answer 4

i don't know what that is

Answer 5

But i know the answer is 92 m but i got 95 m

Answer 6

so that's why i asked it here

Answer 7

then it's manual i guess
original -> 32
first bounce -> 16
second bounce -> 8
third bounce -> 4
fourth bounce -> 2
fifth bounce -> 1

Answer 8

wait..92?

Answer 9

yeah

Answer 10

ahh sum

Answer 11

I am assuming that it wants the distance passed going up and down. So the initial drop sent it 32 meters and the final bounce up added 1 meter. The rest can be modeled as a series with the initial 32 and final 1 meter added to it.\[33+\sum_{n=2}^{5}(1/2)^n=93\]