bạn lên mạng tra từng câu 1 sẽ có

ukm cảm ơn bạn nhìu

 Tính tổng :

a ,1+2+3+..........+2015 

SSH của tổng trên là :

   (2015-1):1+1=2015(SH)

Tổng trên là:

  (2015:2)x(2015+1)=2031120

b, 3+5+7+......+2015

SSH của tổng trên là :

     (2015-3):2+1=1007(SH)

Tổng trên là:

     (1007:2)x(2015+3)=1016063

LƯU ý: SSH=số số hạng nha

a 2029106

b508032

c1679780.53381924

tick đúng cho mk nha

                         a)1+2+3+...........+2015 = 2031120

                          b)3+5+7+...........+2015 = 1016063

                          c)1,2+2,3+3,4+...........2015,2016 =20294103,83

1a) x - 1/3 = 13/6

          x  = 13/6 + 1/3

          x  = 5/2

b) -7/5 - x = 13/7 : 13/7

    -7/5 - x = 1

             x = -7/5 - 1

             x = -12/5

2) A = 1/1.2 + 1/2.3 + 1/3.4 + ... + 1/2015.2016

A = 1 -1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/2015 - 1/2016

A = 1 - 1/2016

A = 1 - 1/2016

A = 2015/2016

\(=\frac{0}{1.2}+\frac{0}{2.3}+\frac{0}{3.4}+...+\frac{0}{2015.2016}\)

\(=0+0+0+...+0=0\)

c; 17\(\dfrac{2}{31}\) - (\(\dfrac{15}{17}\) + 6\(\dfrac{2}{31}\))

= 17 + \(\dfrac{2}{31}\) - \(\dfrac{15}{17}\) - 6 - \(\dfrac{2}{31}\)

= (17 - 6)  - \(\dfrac{15}{17}\) + (\(\dfrac{2}{31}\) - \(\dfrac{2}{31}\))

= 11  - \(\dfrac{15}{17}\)+ 0

=    \(\dfrac{172}{17}\)

b; 130\(\dfrac{25}{28}\) + 120\(\dfrac{17}{35}\)

= 130 + \(\dfrac{25}{28}\) + 120 + \(\dfrac{17}{35}\)

= (130 + 120) + (\(\dfrac{25}{28}\) + \(\dfrac{17}{35}\))

= 250 + (\(\dfrac{125}{140}\) + \(\dfrac{68}{140}\))

= 250 +  \(\dfrac{193}{140}\)

= 250\(\dfrac{193}{140}\)

\(S=\dfrac{3}{1.2}+\dfrac{3}{2.3}+...+\dfrac{3}{2015.2016}\)

\(=3\left(\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{2015.2016}\right)\)

\(=3\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{2015}-\dfrac{1}{2016}\right)\)

\(=3\left(1-\dfrac{1}{2016}\right)\)

\(=3.\dfrac{2015}{2016}=\dfrac{6045}{2016}\)

Vậy \(S=\dfrac{6045}{2016}\)

\(S=3\left(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{2015.2016}\right)\)

\(\Rightarrow S=3\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2015}-\dfrac{1}{2016}\right)\)

\(\Rightarrow S=3\left(1-\dfrac{1}{2016}\right)=3.\dfrac{2015}{2016}=\dfrac{6045}{2016}\)

Vậy ...

\(S=\dfrac{3}{1.2}+\dfrac{3}{2.3}+\dfrac{3}{3.4}+....+\dfrac{3}{2015.2016}\)

\(=\dfrac{1}{1}.\left(\dfrac{3}{1.2}+\dfrac{3}{2.3}+\dfrac{3}{3.4}+....+\dfrac{3}{2015.2016}\right)\)

= \(3.\left(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+....\dfrac{1}{2015.2016}\right)\)

= 3. \(\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2015}+\dfrac{1}{2016}\right)\)

= 3.

bó tay kkk

B = 6 + 6^3 + 6^5 + ... + 6^2015

=> 6^2.B = 6^2(6 + 6^3 + 6^5 + ... + 6^2015

=> 36B = 6^2.6 + 6^3.6 + 6^5.6 + ... + 6^2015 .6 

=> 36B = 6^3 + 6^4 + 6^6 + ... + 6^2016

Lấy 36B trừ đi B, ta có:

     35B = 6^2016 - 6 

=> B = (6^2016 - 6)/35

\(S=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+.......+\frac{1}{2015.2016}\)

\(S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+.......+\frac{1}{2015}-\frac{1}{2016}\)

\(S=\frac{1}{1}-\frac{1}{2016}=\frac{2015}{2016}\)

làm r sao cứ đăng hoài vậy?

S=1/1-1//2+1/2-1/3+1/3-1/4+.......=1/2014-1/2015

S=1/1-1/2015

S=2015/2015-1/2015

S=2014/2015