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CEMC Gauss (Grade 7), 2013

Algebra Difficulty 1.1 Junior Find the answer Canada

The value of 1+1−2+3+5−8+13+21−341+1-2+3+5-8+13+21-34 is

Pick one

Solution

By grouping terms using brackets as shown, (1+1−2)+(3+5−8)+(13+21−34)(1+1-2)+(3+5-8)+(13+21-34), we can see that the result inside each set of brackets is 0.
Thus the value of 1+1−2+3+5−8+13+21−341+1-2+3+5-8+13+21-34 is 0.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.