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

360-357+354-351+...+300-297
asked 166k views
4 votes
360-357+354-351+...+300-297

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User Mikkel Fennefoss
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2 Answers

4 votes

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
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User Andreas Dolk
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8.0k points
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360-357+354-351+...+300-297\\\\=(360-357)+(354-351)+...+(300-297)\\\\=\underbrace{3+3+...+3}_(11)=11*3=33
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User Kazuwal
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