360-357+354-351+...+300-297

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asked Jan 8, 2015 166k views

4 votes

360-357+354-351+...+300-297

Mathematics
middle-school

Mikkel Fennefoss asked

by Mikkel Fennefoss

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$x=360-357+354-351+...+300-297=3+3+3+...+3=3n\\\\\ \ \ \ and \ \ \ 300=360-6\cdot(n-1)\ \ \ \Rightarrow\ \ \ 6n=66\ /:6\ \ \ \Rightarrow\ \ \ n=11\\\\x=3\cdot11=33$

Andreas Dolk answered Jan 10, 2015

by Andreas Dolk

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$360-357+354-351+...+300-297\\\\=(360-357)+(354-351)+...+(300-297)\\\\=\underbrace{3+3+...+3}_(11)=11*3=33$

Kazuwal answered Jan 14, 2015

by Kazuwal

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