Đặt \(A=2.4+4.6+...+50.52\)
\(\Rightarrow6A=2.4.6+4.6.6+...+50.52.6\)
\(=2.4.6+4.6.\left(8-2\right)+....+50.52.\left(54-48\right)\)
\(=2.4.5+4.6.8-2.4.6+...+50.52.54-48.50.52\)
\(=50.52.54\)
\(\Rightarrow A=\frac{50.52.54}{6}=23400\)
\(\text{Đặt A = 2.4 + 4.6 + ... + 50.52}\)
\(\text{⇒6A = 2.4.6 + 4.6.6 + ... + 50.52.6}\)
\(\text{6A= 2.4.6 + 4.6. 8 − 2 + .... + 50.52. 54 − 48 }\)
\(\text{6A= 2.4.5 + 4.6.8 − 2.4.6 + ... + 50.52.54 − 48.50.52}\)
\(\text{6A=50.52.54 }\)
\(\Rightarrow A=\)\(\frac{\text{50.52.54 }}{6}\)\(=23400\)