1+3+5+7+...+47+49+...+(-2)+(-4)+(-6)+...+(-48)+(-50)

=(-2+1)+(-4+3)+...+(-50+49)

=(-1)+(-1)+(-1)+...+(-1) (25 số -1)

= -25

\(\left(50-49\right)+\left(48-47\right)+...+\left(4-3\right)+\left(2-1\right)\)

\(=1\cdot\dfrac{\left(50-1+1\right)}{2}=25\)

50 - 49 + 48 - 47 + ...+ 4 - 3 + 2 - 1   
= (50 - 49) + (48 - 47) + ...+ (4 - 3) + (2 - 1)     
=  1 + 1 + .... + 1 + 1              

=  1 . ( 50 : 2 ) 

= 1 . 25 

= 25      

50 - 49 + 48 - 47 + ...+ 4 - 3 + 2 - 1   
= (50 - 49) + (48 - 47) + ...+ (4 - 3) + (2 - 1)     
=  1 + 1 + .... + 1 + 1              

=  1 . ( 50 : 2 ) 

= 1 . 25 

= 25    

A = - ( 5 - 6 ) - ( 3 - 4 + 5 - 7 )

A = -5 + 6 - 3 + 4 - 5 + 7

A = ( 6 + 4 ) + ( -5 + (-5) ) + ( -3 + 7 )

A = 10 + (-10) + 4

A = 0 + 4

A = 4

P = ( 1 + 3 + 5 + ... + 47 + 49 ) - ( 2 + 4 + 6 + ... + 48 + 50 )

P = \(\frac{\left(1+49\right)\cdot\left(\left(49-1\right):2+1\right)}{2}\)  -  \(\frac{\left(2+50\right)\cdot\left(\left(50-2\right):2+1\right)}{2}\)

P = \(625-650\)

P = \(-25\)

So sánh tổng : S = 1/5 + 1/9 + 1/10 + 1/41 + 1/42 với 1/2

S=

=50/50+50/49+50/48+...+50/2

=50.(1/50+1/49+1/48+...+1/4+1/3+1/2)

=50

P=

P=(1/49+1)+(2/48+1)+...+(48/2+1)+1

P= 50/49+50/48+....+50/2+50/50=1

vậy s/p = 1/50

nhóm 2 cái liền nhau vào

đơn giản thôi

\(A=\frac{2}{2\cdot3\cdot4}+\frac{2}{3\cdot4\cdot5}+...+\frac{2}{47\cdot48\cdot49}+\frac{2}{48\cdot49\cdot50}\)

\(A=\frac{1}{2\cdot3}-\frac{1}{3\cdot4}+\frac{1}{3\cdot4}-\frac{1}{4\cdot5}+...+\frac{1}{47\cdot48}-\frac{1}{48\cdot49}+\frac{1}{48\cdot49}-\frac{1}{49\cdot50}\)

\(A=\frac{1}{2\cdot3}-\frac{1}{49\cdot50}\)

\(A=\frac{1}{6}-\frac{1}{2450}\)

\(A=\frac{611}{3675}\)

mong giúp đc bn.thk cho mk 

sai bet