$\"\"$

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A bungee jumper falls $\"\"$ meters and rebounds $\"\"$ of the distance after each fall.

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(a)

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Find first five terms of the sequence.

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The infinite geometric sequence is $\"\"$ .

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Find the common ratio.

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The common ratio $\"\"$ is $\"\"$ , then $\"\"$ .

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The infinite geometric series has a sum.

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Find $\"\"$ .

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Here $\"\"$ :

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$\"\"$

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The sum of an infinite geometric series is $\"\"$

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The first five terms of infinte sequence is $\"\"$

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Include the up and the fall hence the sequence is $\"\"$ .

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$\"\"$

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The general formula of sum of an infinite geometric series $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in the formula

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$\"\"$

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The total distance of the jumpers travelled before comming to rest is $\"\"$ .

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$\"\"$

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The total distance of the jumpers travelled before comming to rest is $\"\"$

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$\"\"$

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(a) The first five terms of infinte sequence is $\"\"$ .

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(b) The total distance of the jumpers travelled before comming to rest is $\"\"$ is $\"\"$ .