\(S=99-97+95-93+91-89+...+3-1\)
\(\Rightarrow S=\left(99-97\right)+\left(95-93\right)+\left(91-89\right)+...+\left(3-1\right)\) ( 25 cặp số )
\(\Rightarrow S=2+2+2+...+2\) ( 25 số 2)
\(\Rightarrow S=2.25\)
\(\Rightarrow S=50\)
Vậy \(S=50\)
=> :99 - 97 + 95 - 93 + 91 - 89 + ... + 7 - 5 + 3 - 1
= (99 - 97) + (95 - 93) + ... + (7 - 5) + (3 - 1) = 25*2=50
\(S=99-97+95-93+91-89+...+3-1\)
\(S=2+2+2+...+2\) (25 số 2)
\(S=2\cdot25=50\)