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A = 1/15 + 1/35 + 1/63 + 1/99 +........1/9999
A = 1/3x5 + 1/5x7 + 1/7x9 + .......+ 1/99x101
A = 1/2 x (1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 +..... + 1/99 - 1/101)
A = 1/2 X ( 1/3 - 1/99)
A = 1/2 x ( 1/3 - 1/101)
A = 1/2 ( 98/303)
A = 49/303
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{132}\)
\(=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{11\cdot12}\)
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{11}-\frac{1}{12}\)
\(=1-\frac{1}{12}=\frac{11}{12}\)
Vậy \(A=\frac{11}{12}\)
Chúc bạn học tốt ^^!!!
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{132}\)
\(=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{11\times12}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{11}-\frac{1}{12}\)
\(=1-\frac{1}{12}=\frac{11}{12}\)
Chúc bạn học tốt!
#Huyền#
a) 364,8 : 0,125 - 364,8 : 0,5 + 364,8 : 1/4
= 364,8 x 8 - 364,8 x 2 + 364,8 x 4
= 364,8 x (8 - 2 + 4)
= 364,8 x 10
= 3648
b) 28,4 : 0,2 + 28,4 + 56,8 x 2
= 28,4 x 5 + 28,4 + 28,4 x 4
= 28,4 x (5 + 1 + 4)
= 28,4 x 10
= 284
a) 364,8 : 0,125 - 364,8 : 0,5 + 364,8 : 1/4
= 364,8 x 8 - 364,8 x 2 + 364,8 x 4
= 364,8 x (8 - 2 + 4)
= 364,8 x 10
= 3648
b) 28,4 : 0,2 + 28,4 + 56,8 x 2
= 28,4 x 5 + 28,4 + 28,4 x 2 x 2
28,4 x 5 + 28,4 + 28,4 x 4
= 28,4 x (5 + 4 + 1)
= 28,4 x 10
= 284
b) 78.31 + 78.24 + 78.17 + 72. 22
= 78. ( 31 + 24 + 17 ) + 72 . 22
= 78 . 72 + 72 . 22
= 72 (78+22)
= 72 . 100 = 7200
b) 78 x 31 + 78 x 24 + 78 x 17 + 72 x 22
= 78 x ( 31 + 24 + 17 ) + 72 x 22
= 78 x 72 + 72 x 22
= 72 x ( 78 + 22 )
= 72 x 100
= 7200
Bài làm
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{90}+\frac{1}{110}\)
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{9.10}+\frac{1}{10.11}\)
\(A=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
\(A=\frac{1}{1}-\frac{1}{11}\)
\(A=\frac{10}{11}\)
\(a,9\times435\times4+12\times565\times3\)
\(=36\times435+36\times565\)
\(=36\times\left(435+565\right)\)
\(=36\times1000\)
\(=36000\)
\(b,4\times1368\times21-7\times368\times12\)
\(=84\times1368-84\times368\)
\(=84\times\left(1368-368\right)\)
\(=84\times1000\)
\(=84000\)
\(A=\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{9}\right)\cdot...\cdot\left(1-\dfrac{1}{9801}\right)\)
\(=\left(1-\dfrac{1}{2}\right)\left(1+\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1+\dfrac{1}{3}\right)\cdot...\left(1-\dfrac{1}{99}\right)\left(1+\dfrac{1}{99}\right)\)
\(=\left(\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot...\cdot\dfrac{98}{99}\right)\cdot\left(\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot...\cdot\dfrac{100}{99}\right)\)
\(=\dfrac{1}{99}\cdot\dfrac{100}{2}=\dfrac{50}{99}\)
a) =-12,05
b) =-12,05
c) =79,62
dùng mt là nhanh nhất
Ai tích mk mk sẽ tích lại