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# Sequences and Series

Take a look into this telescope...

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Ross the rabbit jumps 15 cm with each jump. He is currently standing 2016 cm away from you and jumps directly towards you. How many jumps does Ross have to take to reach you? (Assume on the last jump, Ross can jump exactly the remaining distance needed if it is less than 15 cm.)

Zeno the zebra is coming home. He is currently 40 meters from the front door. At each minute, he walks half of the remaining distance to the door. For example, for the first minute, he walks 20 meters towards the door. During the second minute, he walks 10 meters more towards the door. How many meters does he walk during the 5$$\text{th}$$ minute?

Which of the following is equivalent to $\frac{1}{x(x+1)}?$

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