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# Summing Consecutive Numbers

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Age 11 to 14

Challenge Level

- Problem
- Getting Started
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Start by trying some simple cases; perhaps start by exploring what happens when you add two or three consecutive numbers.

$1 + 2 + 3 = 6$

$2 + 3 + 4 = 9$

Can you explain why the total has gone up by $3$?

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?