Tính nhanh:3/2+7/6+13/12+21/20+...+133/132
Giải thích
32+76+1312+2120+...+133132
=1+ 12 + 1+ 16+ 1+ 12+ 1+ 120+......+ 1+ 1132
=(1+ 1 + 1+.....+ 1) + ( 12+ 16+112+ 120+....+ 1132)
= 11+ ( 11×2+ 12×3+13×4+14×5+.....+111×12)
=11+ ( 1-12+12-13+13-14+14-15+......+111-)
=11+(1-112)
= 11+1112
=14312