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monkeybizz2021trey monkeybizz2021trey
  • 14-08-2014
  • Mathematics
Answered

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

Verified Answer :

Anonymous Anonymous
  • 14-08-2014

\(360-357+354-351+...+300-297\\\\=(360-357)+(354-351)+...+(300-297)\\\\=\underbrace{3+3+...+3}_{11}=11\times3=33\)

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kate200468
kate200468 kate200468
  • 14-08-2014

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

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