Tính A = 1.3 + 3.5 + 5.7 +...+ 99.101
Giải thích
A = 1.3 + 3.5 + 5.7 + ...+ 99.101
6A = 1.3.6 + 3.5.6 + 5.7.6 +...+ 99.101.6
= 1.3.(5 + 1) + 3.5.( 7−1) + 5.7.(9−3) +...+ 99.101.(103 − 97)
=1.3.5 + 1.3 + 3.5.7 −1.3.5+5.7.9−3.5.7 +...+ 99.101.103−97.99.101
=1.3 + 99.101.103
A =1029900 : 6 = 171650