monkeybizz2021trey
monkeybizz2021trey
14-08-2014
Mathematics
Answered
360-357+354-351+...+300-297
Answer :
Аноним
Аноним
14-08-2014
[tex]360-357+354-351+...+300-297\\\\=(360-357)+(354-351)+...+(300-297)\\\\=\underbrace{3+3+...+3}_{11}=11\times3=33[/tex]
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kate200468
kate200468
14-08-2014
[tex]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[/tex]
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