\(A=\dfrac{4}{1\cdot3}+\dfrac{4}{3\cdot5}+\dfrac{4}{5\cdot7}+...+\dfrac{4}{99\cdot101}\)

\(A=2\cdot\left(\dfrac{2}{1\cdot3}+\dfrac{2}{3\cdot5}+...+\dfrac{4}{99\cdot101}\right)\)

\(A=2\cdot\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{99}-\dfrac{1}{101}\right)\)

\(A=2\cdot\left(1-\dfrac{1}{101}\right)\)

\(A=2\cdot\dfrac{100}{101}\)

\(A=\dfrac{200}{101}\)

Ko ghi đề

C = (3.2)+(3.4)+(3.6)+...+(3.98)+(3.100)

C = 3 . (2+4+6+...+100)

C = 3 . 2550

C = 7650 

Ko theo công thức nha @@

Nhớ k mk nha ^^

  1 -2 + 3 - 4 + 5 - 6 + 7 - 8 +...+ 97 - 98 + 99 - 100

= ( 1-2 ) + ( 3-4 ) + ( 5-6) + (7-8) +...+ ( 97-98 ) + ( 99-100 )

= (-1) + (-1) + (-1) + (-1) +...+ ( -1) +  (-1)

= (-1) . 50

=   - 50

  _Hok tốt_

D = 1-2-3-4+5-6-7-8+9-10-11-12+...+97-98-99-100
D = (1-2-3-4)+(5-6-7-8)+(9-10-11-12)+...+(97-98-99-100)
D = -8 + -8 +....+-8 ( Có 25 chữ số -8 )
D = -200

C =1+2-3-4+5+6-7-8+.....+97+98-99-100

= ( 1 + 2 -3 -4 ) + ( 5+6-7-8 ) + ... + ( 97 + 98 -99-100)

= 4 + ( -4 ) + ... + ( -4) ( do có 25 số)

= 4 x25 = 100

A= 1 + 2 - 3 -4 + 5 + 6 -7 -8 + ... +97 +98 -99 -100 ( có: ( 100 - 1 ) : 1 + 1 = 100 )

                   A= ( 1 +2 - 3 - 4 ) + ( 5 + 6 - 7 -8 ) + ... ( 97 + 98 - 99 +100 ) ( có 100 : 4 = 25 cặp )

                   A= - 4 + -4 + -4 + ... + -4 ( có 25 số hạng )

                   A= ( -4 ) . 25

                   A= -100

tham khảo