S=1-2+3-4+5-6+...+999-1000

S=(1-2)+(3-4)+(5-6)+...(999-1000)

S=-1+-1+-1+-1+...+ -1  (500 số -1)

S=500. -1

S=-500

 Làm rõ ràng hộ mình

S=  1-2 + 3-4 + 5-6 + ... + 999-1000

=(1-2)+(3-4)+....+(999-100)

= -1 + (-1) + ...+  (-1)

= -1 x 500 = -500 

Vậy S = -500

S = 1 - 2 + 3 - 4 + 5 - 6 +...+ 999 - 1000 (1000 số)

S = (1 - 2) + (3 - 4) + (5 - 6) +...+ (999 - 1000) (500 nhóm)

S = (-1) + (-1) + (-1) +...+ (-1) (500 số)

S = (-1).500

S = -500

ĐỀ SAI RỒI BẠN Ạ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

1-2+3-4+5-6+...+999-100=

(1-2)+(3-4)+(5-6)+...+(999-1000)=( có 500 vế)

(-1)+(-1)+(-1)+.......+(-1)=(có 500 vế)

(-1)x500

=-500

tick to to nha lê văn vy

= (1/1 -1/2) + (1/2-1/3) + (1/3x1/4)+...+(1/999- 1/1000)

= 1/1- 1/1000

= ...[bn tự tính nhé]

k mk nha, nếu đúng

\(\text{Đề bạn bị sai thì phải ????? Đề đúng phải là }:\)

      \(\frac{1}{1\text{ x }2}+\frac{1}{2\text{ x }3}+\frac{1}{3\text{ x }4}+...+\frac{1}{999\text{ x }1000}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{999}-\frac{1}{1000}\)

\(=1-\frac{1}{1000}\)

\(=\frac{999}{1000}\)

1/1x2+1/2x3+1/3x4+...

= 1/1-1/2+1/2-1/3+1/3-1/4+...

= 1-1/4

=3/4

K nhé

bạn trả lời đúng rồi nhưng giúp mình phần sau nữa nhé !

ARIGATO

1/1x2+1/2x3+...+1/999x1000+1

= 1+ (1/1-1/2+1/2-1/3+...+1/999-1/1000)

= 1 + ( 1-1/1000)

= 1 + 999/1000

= 1999/1000

K mk nhé bn

=\(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+........+\frac{1}{999}-\frac{1}{1000}+1\)

=\(\frac{1}{1}-\frac{1}{1000}+1\)

=\(\frac{1999}{1000}\)

     \(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{999\cdot1000}+1\)

= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{999}-\frac{1}{1000}+1\)

= \(1-\frac{1}{1000}+1\)

= \(\frac{999}{1000}+1\)

=\(\frac{1999}{1000}\)

                                                     \(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{999\cdot1000}+1\)

                                                   = \(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{999}-\frac{1}{1000}+1\)

                                                   = \(\frac{1}{1}-\frac{1}{1000}+1\)

                                                   = \(\frac{999}{1000}+1\)

                                                   = \(\frac{999}{1000}+\frac{1000}{1000}\) 

                                                   = \(\frac{1999}{1000}\)

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{999.1000}+1\)

\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{999}-\frac{1}{1000}+1\)

\(=1-\frac{1}{1000}+1=\frac{1999}{1000}\)

1/2*2+1/2*3+...+1/999*1000+1

=1-1/2+1/2-1/3+1/3-1/4+...+1/999-1/1000+1

=1+1-1/1000

=1999/1000

1/1 - 1/1000 + 1 = 1999/1000

đúng 100% đó bạn , nha

\(\frac{1}{1x2}+\frac{1}{2x3}+.................+\frac{1}{999.1000}+1\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+.............+\frac{1}{999}-\frac{1}{1000}+1\)

\(=1-\frac{1}{1000}+1\)

\(=\frac{999}{1000}+1\)

\(=\frac{1999}{1000}\)