A = 3/4.8/9.15/16....2499/2500
B = 3/3.5 + 3/5.7 + 3/7.9 + .....3/47.49
giúp em với câu này khó quá
tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900tính tích A =3/4.8/9.15/16...899/900
bn ơi mik hỏng mắt sau khó đọc bài của bn òi
BẠN CHÉP PHẠT THẬT À
SAO NÓ CỨ GIỐNG NHAU
NHÌN MUỐN MỜ MẮT
Tính nhanh
B = 3/4.8/9.15/16.....2499/2500
B = 3/4.8/9.15/16.....2499/2500
= 1.3/2^2 . 2.4/3^2 . 3.5/4^2 ..... 49.51/50^2
= 1.2.3.....49/1.2.3.....50 . 3.4.5....51/1.2.3.....50
= 1/50 . 51/2
= 51/100
Giải
B = 3/4.8/9.15/16.....2499/2500
B=1.3/2^2 . 2.4/3^2 . 3.5/4^2 ..... 49.51/50^2
B=1.2.3.....49/2.3.4.....50 . 3.4.5.....51/2.3.4.....50
B=1/50 . 51/2
B=51/100
Tính tích:
A= (1- 1/2).(1- 1/3). (1-1/4). ... .(1- 1/999). (1- 1/1000)
B= (1- 1/7). (1-2/7). (1- 3/7). ... .(1-10/7)
C=3/4.8/9.15/16. ... .2499/2500
D=(22/1.3). (32/2.4). (42/3.5). ... .(502/49.50)
Lời giải:
\(A=\frac{-1}{2}.\frac{-2}{3}.\frac{-3}{4}....\frac{-998}{999}.\frac{-999}{1000}\\
=\frac{(-1)(-2)(-3)...(-998)(-999)}{2.3.4....1000}\\
=-\frac{1.2.3.4....998.999}{2.3.4...1000}\\
=-\frac{1}{1000}\)
Trong $B$ có một thừa số là $1-\frac{7}{7}=0$ nên $B=0$ (do số nào nhân với $0$ cũng sẽ bằng $0$.
----------------------
$C=\frac{1.3}{2^2}.\frac{2.4}{3^2}.\frac{3.5}{4^2}...\frac{49.51}{50^2}$
$=\frac{1.3.2.4.3.5.....49.51}{2^2.3^2.4^2....50^2}$
$=\frac{(1.2.3...49)(3.4.5...51)}{(2.3.4...50)(2.3.4...50)}$
$=\frac{1.2.3...49}{2.3.4...50}.\frac{3.4.5...51}{2.3.4....50}$
$=\frac{1}{50}.\frac{51}{2}=\frac{51}{100}$
$D=\frac{2^2.3^2.4^2....50^2}{1.3.2.4.3.5....49.50}$
$=\frac{(2.3.4...50)(2.3.4...50)}{(1.2.3...49)(3.4....50)}$
$=\frac{2.3.4...50}{1.2.3...49}.\frac{2.3.4....50}{3.4....50}$
$=50.2=100$
Tính
A= \(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{19.21}\)
B= \(\frac{3}{11.14}+\frac{3}{14.17}+\frac{3}{17.20}+...+\frac{3}{68.71}\)
C= \(\frac{8}{9}.\frac{15}{16}.\frac{24}{25}.\frac{35}{36}.............................\frac{2499}{2500}\)
\(A=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{19.21}\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\)
\(=\frac{1}{3}-\frac{1}{21}\)
\(=\frac{7}{21}-\frac{1}{21}=\frac{6}{21}\)
\(A=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{19.21}\)
\(A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\)
\(A=\frac{1}{3}+\left(\frac{1}{5}-\frac{1}{5}\right)+\left(\frac{1}{7}-\frac{1}{7}\right)+\left(\frac{1}{9}-\frac{1}{9}\right)+...+\left(\frac{1}{19}-\frac{1}{19}\right)-\frac{1}{21}\)
\(A=\frac{1}{3}-\frac{1}{21}\)
\(A=\frac{2}{7}\)
\(B=\frac{3}{11.14}+\frac{3}{14.17}+\frac{3}{17.20}+...+\frac{3}{68.71}\)
\(=\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+\frac{1}{17}-\frac{1}{21}+...+\frac{1}{68}-\frac{1}{71}\)
\(=\frac{1}{11}-\frac{1}{71}\)
\(=\frac{71}{781}-\frac{11}{781}\)
\(=\frac{60}{781}\)
Tính:
a) M=2/3.5+2/5.7+2/7.9+...+2/97.99
b) N=3/5.7+3/7.9+3/9.11+...+3/197.199
a.
\(M=1.\left[\frac{1}{3}-\frac{1}{5}+.....\frac{1}{97}-\frac{1}{99}\right]\)
\(M=\frac{1}{3}-\frac{1}{99}=\frac{32}{99}\)
b.
\(N=\frac{3}{2}.\left[\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{197}-\frac{1}{199}\right]\)
\(N=\frac{3}{2}.\left[\frac{1}{5}-\frac{1}{199}\right]=\frac{291}{995}\)
mk đầu tiên nha bạn
tính biểu thức này như thế nào các thầy ơi
+ + +……+ =
2^3/3.5 + 2^3/5.7 + 2^3/7.9 + ....... + 2^3/101.103
\(\dfrac{2^3}{3\cdot5}+\dfrac{2^3}{5\cdot7}+...+\dfrac{2^3}{101\cdot103}\)
\(=2^2\left(\dfrac{2}{3\cdot5}+\dfrac{2}{5\cdot7}+...+\dfrac{2}{101\cdot103}\right)\)
\(=4\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{101}-\dfrac{1}{103}\right)\)
\(=4\cdot\left(\dfrac{1}{3}-\dfrac{1}{103}\right)\)
\(=4\cdot\dfrac{100}{309}=\dfrac{400}{309}\)
G=3/2.5+3/5.7+3/7.9+...+3/2015.2017
H=3/2.5+3/5.7+3/7.9+...+3/2015.2017
(3/3.6+3/3.9+...+3/30.33). x+2/5=7/8
(1/8+1/24+1/48+1/440). x=5/9
x:3/4+2,5=15%+16
khó wá giúp mình với huhu
G=\(\frac{3}{2.5}+\frac{3}{5.7}+\frac{3}{7.9}+...+\frac{3}{2015.2017}\)
G=\(3.\left(\frac{1}{2.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{2015.2017}\right)\)
G=\(3.\left(\frac{1}{2}.\frac{1}{5}+\frac{1}{5}.\frac{1}{7}+\frac{1}{7}.\frac{1}{9}+...+\frac{1}{2013}.\frac{1}{2015}+\frac{1}{2015}.\frac{1}{2017}\right)\)
G=\(3.\left(\frac{1}{2}+\frac{1}{2017}\right)\)
G=1.5
Anh ko bik có đúng ko nữa lâu quá rồi. Em thông cảm nhé
Thực hiện các phép tính:
a) \(A=4\frac{25}{16}+25\left(\frac{9}{16}:\frac{125}{64}\right):\frac{-27}{8}\)
b) \(C=\frac{2^3}{3.5}+\frac{2^3}{5.7}+\frac{2^3}{7.9}+...+\frac{2^3}{101.103}\)
a)Ta có:
\(A=4\frac{25}{16}+25\left(\frac{9}{16}:\frac{125}{64}\right):\frac{-27}{8}\)
\(\Rightarrow A=\frac{89}{16}+25.\frac{36}{125}:\frac{-27}{8}\)
\(\Rightarrow A=\frac{89}{16}+\frac{36}{5}:\frac{-27}{8}\)
\(\Rightarrow A=\frac{89}{16}+\frac{-32}{15}\)
\(\Rightarrow A=\frac{823}{240}\)
Vậy A=.....
b)Ta có:
\(C=\frac{2^3}{3.5}+\frac{2^3}{5.7}+\frac{2^3}{7.9}+...+\frac{2^3}{101.103}\)
\(\Rightarrow C=\frac{2^2.2}{3.5}+\frac{2^2.2}{5.7}+\frac{2^2.2}{7.9}+...+\frac{2^2.2}{101.103}\)
\(\Rightarrow C=2^2\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{101.103}\right)\)
\(\Rightarrow C=4\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+....+\frac{1}{101}-\frac{1}{103}\right)\)
\(\Rightarrow C=4\left(\frac{1}{3}-\frac{1}{103}\right)\)
\(\Rightarrow C=4.\frac{100}{309}\)
\(\Rightarrow C=\frac{400}{309}\)
Vậy C=.....
B, C=2^3/3.5 + 2^3/5.7+......+2^3/101.103
C= 2^3(1/3-1/5+1/5-1/7+....+1/101-1/103)
C=8(1/3-1/103)
C=8.100/309
C=800/309
VẬY C= 800/309
Tính nhanh: A= 3/3.5+ 3/5.7+3/7.9 +...+ 3/97.99
\(A=\dfrac{3}{3.5} + \dfrac{3}{5.7} + ... + \dfrac{3}{97.99}\)
\(\Rightarrow A=\dfrac{3}{2}\left(\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{97.99}\right)\)
\(\Rightarrow A=\dfrac{3}{2}\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{97}-\dfrac{1}{99}\right)\)
\(\Rightarrow A=\dfrac{3}{2}\left(\dfrac{1}{3}-\dfrac{1}{99}\right)\)
\(\Rightarrow A=\dfrac{3}{2}.\dfrac{32}{99}\)
\(\Rightarrow A=\dfrac{16}{33}\)
Vậy \(A=\dfrac{16}{33}\)
A= \(\dfrac{3}{3.5}+\dfrac{3}{5.7}+\dfrac{3}{7.9}+...+\dfrac{3}{97.99}\)
= \(\dfrac{3}{2}.\left(\dfrac{1}{3.5}+\dfrac{1}{5.7}+\dfrac{1}{7.9}+...+\dfrac{1}{97.99}\right)\)
= \(\dfrac{3}{2}.\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{97}-\dfrac{1}{99}\right)\)
= \(\dfrac{3}{2}.\left(\dfrac{1}{3}-\dfrac{1}{99}\right)\)
= \(\dfrac{3}{2}.\dfrac{32}{99}\)
= \(\dfrac{3.32}{2.99}\)= \(\dfrac{3.2.3.6}{2.11.3.3}\)= \(\dfrac{6}{11}\)
cho mình hỏi là tại sao lại đặt \(\dfrac{3}{2}\) ra ngoài ?