A ball is thrown vertically upwards from the ground. The ball rises to a height of 10m

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A ball is thrown vertically upwards from the ground. The ball rises to a height of 10m and then falls and bounces. After each bounce it rises to 4/5 of the height of the previous bounce.

a. Write down an expression, in terms of n, for the height that the ball rises after the nth impact with ground.

b. Find the total distance that the ball travels from the first throw to the fifth impact with the ground.

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