Question

Tính M =(101+100+...+2+1):(101-100+...-2+1)

Giúp mình với, chiều nay phải nộp bài rùi!!!!!

 

Answer 1

\(M=\frac{\left(101+1\right)101}{2}:\left[\left(101-100\right)+.....+\left(3-2\right)+1\right]\)

\(\Rightarrow M=\frac{102.101}{2}:\left(1+1+...+1\right)\)

\(\Rightarrow M=\frac{102.101}{2}:51\)

\(\Rightarrow M=\frac{51.2.101}{51.2}\)

\(\Rightarrow M=101\)

Answer 2

\(M=\left(101+100+.....+2+1\right):\left(101-100+.........-2+1\right)\)

\(M=\frac{\left(101+1\right).101}{2}:\left\{\left(101-100\right)+.......+\left(3-2\right)+1\right\}\)

\(M=5151:\left\{1+1+......+1+1\right\}\)

\(M=5151:51\\ M=101\)