\(=\frac{27}{20}\)nhé!

^_^

kb đi kb đi kb đi NHA

Đặt A=1/10+1/40+1/88+1/154+1/238+1/340

A=1/2.5+1/5.8+1/8.11+1/11.14+1/14.17+1/17.20

3A=3/2.5+3/5.8+....+3/17.20

3A=1/2-1/5+1/5-1/8+...+1/17-1/20

3A=1/2-1/20

3A=9/20

2)

Giữ nguyên p/s 1/2^2

Ta có:1/3^2<1/2.3

         1/4^2<1/3.4

        ...............

          1/n^2<1/(n-1).n

=>1/3^2+1/4^2+...+1/n^2<1/2.3+1/3.4+...+1/(n-1).n

=>1/3^2+1/4^2+.....+1/n^2<1/2-1/3+1/3-1/4+.........+1/n-1-1/n

=>1/2^2+1/3^2+.....+1/n^2<1/2^2+1/2-1/n

=>1/2^2+1/3^2+....+1/n^2<3/4-1/n<3/4

3)

2B=2/3.5+2/5.7+....+2/47.49+2/49.51

2B=1/3-1/5+1/5-1/7+.....+1/47-1/49+1/49-1/51

2B=1/3-1/51

2B=16/51

B=16/51:2

B=8/51

A=1+1/2+1/2^2+...+1/2^2010

2A=2+1+1/2+....+1/2^2009

2A-A=(2+1+1/2+...+1/2^2009)-(1+1/2+1/2^2+....+1/2^2010)

A=2-1/2^2010

KQ là 9/20 bạn nha

Chúc bạn học tốt

b = 3/2.5+3/5.8+3/8.11+.....+3/17.20

   = 1/2.5+1/5.8+.......+1/17.20

   = 1/2-1/5+1/5-1/8+......+1/17-1/20

   = 1/2- 1/20

   =     9/20

Số người  tăng sau  năm 2014 là:

80 000 000 x 1,3% = 1 040 000 ( người)

Số người tăng sau năm 2015 là:

( 80 000 000 + 1 040 000) x 1,3% = 1 053 520 ( người)

Số người dân tăng sau 2 năm là:

1 040 000 + 1 053 520 = 2 093 520 ( người)

Đáp số : 2 093 520 người 

\(A=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{99.101}\)

\(A=\frac{1}{2}\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{99.101}\right)\)

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

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

\(A=\frac{1}{2}.\frac{100}{101}\)

\(A=\frac{50}{101}\)

\(A=\frac{3^2}{10}+\frac{3^2}{40}+\frac{3^2}{88}+...+\frac{3^2}{340}\)

\(A=\frac{3^2}{2.5}+\frac{3^2}{5.8}+\frac{3^2}{8.11}+...+\frac{3^2}{17.20}\)

\(A=\frac{3^2}{3}\left(\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{17.20}\right)\)

\(A=3\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{17}-\frac{1}{20}\right)\)

\(A=3\left(\frac{1}{2}-\frac{1}{20}\right)\)

\(A=3.\frac{9}{20}\)

\(A=\frac{27}{20}\)

k nhá bn!

\(A=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{99.101}\)

\(2A=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{5}{5}-\frac{1}{7}+...+\frac{1}{99}-\frac{1}{101}\)

\(2A=1-\frac{1}{101}\)

\(2A=\frac{100}{101}\)

\(\Rightarrow A=\frac{50}{101}\)

\(A=\frac{3^2}{10}+\frac{3^2}{40}+\frac{3^2}{88}+...+\frac{3^2}{340}\)

\(A=\frac{3^2}{2.5}+\frac{3^2}{5.8}+\frac{3^2}{8.11}+...+\frac{3^2}{17.20}\)

\(\Rightarrow A=3\left(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{17.20}\right)\)

\(A=3\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{17}-\frac{1}{20}\right)\)

\(A=3\left(\frac{1}{2}-\frac{1}{20}\right)\)

\(A=3.\frac{9}{20}\)

\(A=\frac{27}{20}\)

phép 2 bài 1 đề là 

2^3.3-(1^10+15):4^2

      120 - { 300: [ 40 - (2.562 - 262.5)] + 10}

=    120 - { 300 : [ 40 - (-186)] + 10}

=    120 - {300 : 226 + 10}

=  120 - \(\dfrac{1280}{113}\)

= \(\dfrac{12280}{113}\)

\(A=\frac{3}{10}+\frac{3}{40}+\frac{3}{88}+...+\frac{3}{340}\)

\(=\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{17.20}\)

\(=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{17}-\frac{1}{20}\)

\(=\frac{1}{2}-\frac{1}{20}=\frac{9}{20}\)

\(\frac{3}{10}+\frac{3}{40}+...+\frac{3}{340}\)

= \(\frac{3}{2.5}+\frac{3}{5.8}+...+\frac{3}{17.20}\)

= \(\frac{3}{3}.\left(\frac{1}{2}-\frac{1}{5}+...+\frac{1}{17}-\frac{1}{20}\right)\)

= \(\frac{3}{3}.\left(\frac{1}{2}-\frac{1}{20}\right)\)

= 1. \(\frac{9}{20}\)

= \(\frac{9}{20}\)

giai xong trước ngày 9/4/2016