A = (5+10+15+....+2015) [ 2/5 : 0,5 + 2(-0,4)] : ( 1/5 + 1/10 + 1/15 +....+1/2015)

A= (5+10+15+....+2015) [ 0,8 + ( - 0,8) ] : ( 1/5 + 1/10 + 1/15 +....+1/2015)

A= (5+10+15+....+2015). 0 :( 1/5 + 1/10 + 1/15 +....+1/2015)

A=  0 :( 1/5 + 1/10 + 1/15 +....+1/2015)

A= 0

a/A=1+2+4+8+...+1024

2A=2+4+8+16+....+2048

2A-A=(2+4+8+16+....+2048)-(1+2+4+8+...+1024)

A=2048-1

A=2047

VẬY A=2047

b/B=1+5+25+125+....+15625

5B=5+25+125+625+....+78125

5B-B=(5+25+125+625+....+78125)-(1+5+25+125+....+15625)

4B=78125-1

4B=78124

B=78124:4

B=19531

VẬY B =19531

C=1/1.2+1/2.3+1/3.4+...+1/2015.2016

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

=1-1/2016

=2015/2016

VẬY C=2015/2016

D/=10/1.3+10/3.5+10/5.7+....+10/2013.2015

=5(2/1.3+2/3.5+2/5.7+...+2/2013.2015)

=5(1-1/3+1/3-1/5+1/5-1/7+..+1/2013-1/2015)

=5(1-1/2015)

=5.2014/2015

=2014/403

VẬY D=2014/403

a, A = 1 + 2 + 4 + 8 +...+ 1024

   \(A=1+2+2^2+2^3+....+2^{10}\)

   \(2A=2+2^2+2^3+....+2^{10}+2^{11}\)

   \(A=1+2+2^2+2^3+....+2^{10}\)

  \(A=2^{11}-1=2047\)

b, B = 1 + 5 + 25 + 125 + ... + 15625

   \(B=1+5+5^2+5^3+....+5^6\)

   \(3B=5+5^2+5^3+....+5^6+5^7\)

   \(B=1+5+5^2+5^3+....+5^6\)

  \(2B=5^7-1\Rightarrow B=\frac{5^7-1}{2}=39062\)

d, D = 10 / 1 . 3 + 10 / 3 . 5 + 10 / 5 . 7 + ... + 10 / 2013 . 2015

\(D=\frac{10}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{2013.2015}\right)\)

\(D=\frac{10}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{2013}-\frac{1}{2015}\right)\)

\(D=\frac{10}{2}.\left(1-\frac{1}{2015}\right)=5.\frac{2014}{2015}=\frac{2014}{403}\)

Câu c thì tương tự

a) A = 1 + 2 + 4 + 8 + ... + 1024

=> A = 1 + (2 + 4 + 8 + ... + 1024)

                     có 512 số hạng

=> A = 1 + [(2 + 1024) . 512 : 2]

=> A = 1 + [1026 . 512 : 2]

=> A = 1 + 262656

=> A = 262657

Xin lỗi nhé mình mới học lớp 6 ko biết hnhieeuf về bài lớp 7 lên mình chỉ làm được mỗi câu a thôi, nhớ tích cho mk nhé

a)

A= \(5^2+10^2+15^2+...+2015^2\)

\(A=\left(5.1\right)^2+\left(5.2\right)^2+\left(5.3\right)^2+...+\left(5.403\right)^2\)

\(A=5^2.1^2+5^2.2^2+5^2.3^2+...+5^2.403^2\)

\(A=5^2.\left(1^2+2^2+3^2+...+403^2\right)\)

\(A=25.\left[1.\left(2-1\right)+2.\left(3-1\right)+3.\left(4-1\right)+...+403.\left(404-1\right)\right]\)

\(A=25.\left[\left(1.2+2.3+3.4+...+403.404\right)-\left(1+2+3+...+403\right)\right]\)

Gọi :\(B=1.2+2.3+3.4+...+403.404\) 

 \(3B=1.2.3+2.3.3+3.4.3+...+403.404.3\)

\(=1.2.3+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+403.404.\left(405-402\right)\)

\(=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+403.404.405-402.403.404\)

\(=403.404.405\)

\(=65938860\)

Gọi \(C=1+2+3+...+403\) (403 số hạng)

  \(=\frac{\left(403+1\right).403}{2}\)

\(=\frac{162812}{2}\)

\(=81406\)

Suy ra \(A=25.\left(B-C\right)\)

       \(=25.\left(65938860-81406\right)\)

       \(=25.65857454\)

          \(=1646436350\)

1) 9 x 10 + 10 x 11 + 11 x 12 + ....+ 2015 x 2016

=9x10x11-8x9x10+10x11x12-9x10x11+...+2015x2016x2017-2014x2015x2013

=2015x2016x2017-8x9x10

=8193537360

a. \(\left[\left(-2\right)^5.2014-4^2.2015\right]-\left(-2015^0+3^2-2^3\right)\)

\(=-64448-32240+1-9+8=-96688\)

Tớ lm lại nhé:

SBC = 9-1/2-1/3-1/4-...-1/10

=1+1+...+1(9 số 1) -1/2-1/3-1/4-1/5-...-1/10.

=(1-1/2)+(1-1/3)+...+(1-1/10)

=1/2+2/3+...+9/10= SC

=> phép chia có thương là 1(vì SBC=SC)

SBC = (1-1/2) + (1-1/3) + ... + (1-1/10)

=1/2 + 2/3 +3/4 +... +9/10 = SC

Vậy thương là 1.

viết lại đề cho rõ phân số đi bn