Question

Tính:

C=1+3+6+10+15+...+1225

Answer 1

\(2C=2+6+12+20+...+2450\)

\(2C=1.2+2.3+3.4+4.5+...+49.50\)

\(6C=1.2.3+2.3.3+3.4.3+...+49.50.3\)\(6C=1.2.3+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+49.50.\left(51-48\right)\)

\(6C=1.2.3+2.3.4-1.2.3+...+49.50.51-49.50.51\)

\(6C=49.50.51\)

\(6C=124950\)

\(C=20825\)