Question

 99−97+95−93+91−89+⋯+7−5+3−1 

 

 

 

Answer 1

\(=\left(99-97\right)+\left(95-93\right)+...+\left(7-5\right)+\left(3-1\right)\\ =2+2+...+2+2\)

Có \(\left[\left(99-1\right):2+1\right]:2=25\) số hạng 2

\(=2\cdot25=50\)

 

Answer 2

\(99-97+95-93+...+3-1\)

\(=\left(3+7+11+...+99\right)-\left(1+5+...+97\right)\)

\(=\dfrac{\left(99+3\right)\left(\dfrac{99-3}{4}+1\right)}{2}-\dfrac{\left(97+1\right)\left(\dfrac{97-1}{4}+1\right)}{2}\)

\(=1275-1225=50\)