A bunny started from 0 on a number line, hopped 1 unit to the right (landing on 1), then 2 units to the left (landing on –1), then 3 units to the right, followed by 4 units to the left, etc.
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BACKGROUND
Middle school students should be able to recognize patterns and describe them. they can also partially construct the table below, showing the bunny's position after every 10 moves. Upper level students can be introduced to or review the formulas associated with arithmetic sequences. As suggested below, there is also a straightforward way of making sense of this pattern by pairing moves.
A Possible Question:
A bunny started from zero on a number line, hopped one unit to the right (landing on 1), then two units to the left (landing on –1), then three units to the right, followed by four units to the left, and so on. At what position on the number line would it be after 100 moves?