b=1.3+3.5+5.7+.......+51.53+53.55
Bài 5) Tính giá trị của biểu thức
a) A=1.2+2.3+3.4+...+9.10
b) B=3.4+4.5+5.6+...+198.199+199.200
c) C=1.2.3+2.3.4+3.4.5+...+8.9.10
d) D=31.32.33+32.33.34+...+58.59.60
e) E=1.3+3.5+5.7+...+95.97+97.99
f) F=51.53+53.55+...+153.155+155.157
g) G=1.3.5+3.5.7+...+15.17.19+17.19.21
h) H=2.4+4.6+6.8+...+96.98+98.100
Bài 5:
a) Ta có: \(A=1\cdot2+2\cdot3+3\cdot4+...+9\cdot10\)
\(\Leftrightarrow3\cdot A=3\cdot\left(1\cdot2+2\cdot3+3\cdot4+...+9\cdot10\right)\)
\(\Leftrightarrow3A=1\cdot2\cdot\left(3-0\right)+2\cdot3\cdot\left(4-1\right)+3\cdot4\cdot\left(5-2\right)+...+9\cdot10\cdot\left(11-8\right)\)
\(\Leftrightarrow3A=1\cdot2\cdot3+2\cdot3\cdot4-1\cdot2\cdot3+3\cdot4\cdot5-2\cdot3\cdot4+...+8\cdot9\cdot10-8\cdot9\cdot10+9\cdot10\cdot11\)
\(\Leftrightarrow3\cdot A=9\cdot10\cdot11=90\cdot11=990\)
hay A=330
Vậy: A=330
Tính B=1.3^2+3.5^2+5.7^2+...+51.53^2
\(B=1.3^2+3.5^2+5.7^2+...+51.53^2\)
\(\Rightarrow3B=.......\)
Sao đó lấy 3B - B nó sẽ ra
Chúc bạn học tốt
Tính B=1.3^2+3.5^2+5.7^2+...+51.53^2
giúp mình nha!
Tính gia trị biểu thức
a) A=1.2+2.3+3.4+…+9.10
b) B=1.2.3+2.3.4+3.4.5+….+7.8.9+8.9.10
c) C=1.3+3.5+5.7+…+95.97+97.99
d) D=51.53+53.55+…+153.155+155.157
e) E=1.3.5+3.5.7+…+15.17.19 +17.19.21
f) F=2.4+4.6+6.8+…+96.98+98.100
AI LÀM NHANH NHẤT MÌNH TICK CHO
\(A=\frac{3}{1.3}+\frac{3}{3.5}+\frac{3}{5.7}+...+\frac{3}{53.55}=?\)
A=3/2(2/1.3+2/3.5+2/5.7+....+2/53.55)
=3/2(1-1/3+1/3-1/5+1/5-1/7+..../1/53-1/55)
=3/2(1-1/55)
=3/2.54/55
=81/55
các bn và cô Loan giúp mik nhá
Tính A = 1.3^3+3.5^3+5.7^3+..+51.53^3
( ''^'' là số mũ nhé, VD: 3^3 là '' 3 mũ 3'')
ai nhanh và làm đún<=> 1 like nha s
Tìm x:
a, 1 + 2 + 3 + ... + x = 120
b, 1 + 2 + 3 + ... + x = 325
c, x - ( 2/1.3 + 2/3.5 + 2/5.7 + ... + 2/53.55) = 3/5
NHANH LÊN MAI MÌNH THI RỒI
CÓ AI THI HỌC SINH GIỎI TOÁN KO ???
a, 1 + 2 + 3 + ... + x = 120
=> (x+1)x/2 = 120
=>x(x +1)=120.2=240
=>15.16 = 240
=>x=15
Vậy x=15
Phần b làm tương tự
c, x - ( 2/1.3 + 2/3.5 + 2/5.7 + ... + 2/53.55) = 3/5
=> x = 3/5 + ( 2/1.3 + 2/3.5 + 2/5.7 + ... + 2/53.55)
=> x = 3/5 + ( 1-1/3 + 1/3 - 1/5 + 1/5 - 1/7 + ... + 1/53 - 1/55 )
=> x = 3/5 + ( 1- 1/55 )
=> x = 3/5 + 54/55
=> x = 87/55
Vậy x = 87/55
a) \(1+2+3+...+x=120\)
\(\Leftrightarrow\frac{x\left(x+1\right)}{2}=120\)
\(\Leftrightarrow x\left(x+1\right)=120\times2\)
\(\Leftrightarrow x\left(x+1\right)=240\)
\(\Leftrightarrow x\left(x+1\right)=15.16\)
\(\Leftrightarrow x=15\)
a) 1/1.3+1/3.5+1/5.7
b) 1/1.3+1/3.5+1/5.7+...+1/2007.2009+1/2009.2011
a)\(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}\)
\(=\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{7}\right)\)
\(=\frac{1}{2}.\frac{6}{7}\)
\(=\frac{3}{7}\)
b)\(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{2007.2009}+\frac{1}{2009.2011}\)
\(=\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{2009}-\frac{1}{2011}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{2011}\right)\)
\(=\frac{1}{2}.\frac{2010}{2011}\)
\(=\frac{1005}{2011}\)
Tính:
a,A= 3.4+4.5+5.6+...+49.50
b,B=1.3+3.5+5.7+...+51.53
c,C=5.5+6.6+...+30.30
d,D=1+3+9+27+81+243+729+218+6561
Dấu"." là dấu nhân các bạn nhé giúp mk gấp nhé ai nhanh mk k