Giúp mìn nhé cacq bạn
\(B=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{a.\left(a+1\right)}\\ Thanks\)
các friends nhìu
\(D=\left(1-\frac{1}{1.2}\right)+\left(1-\frac{1}{2.3}\right)+...+\left(1-\frac{1}{2015.2016}\right)\)
Mn ơi giúp mik vs
thanks các bạn nhìu nha!!!
\(D=\left(1-\frac{1}{1.2}\right)+\left(1-\frac{1}{2.3}\right)+...+\left(1-\frac{1}{2015.2016}\right)\)
\(=\left(1+1+...+1\right)-\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{2015.2016}\right)\)
\(=2015-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2015}-\frac{1}{2016}\right)\)
\(=2015-\left(1-\frac{1}{2016}\right)\)
\(=2015-\frac{2015}{2016}\)
TO LẮM
B=\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{x.\left(x+1\right)}\)(x thuộc Z)
tính B
các bn giúp mk nhé mk tk
\(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{x.\left(x+1\right)}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{x}-\frac{1}{x+1}\)
\(=1-\frac{1}{x+1}=\frac{x+1}{x+1}-\frac{1}{x+1}=\frac{x}{x+1}\)
Tính nhanh :
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}\)
\(B=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)
Giúp mình nhé , thanks các bạn ^^!~
\(A=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{9.10}\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}=1-\frac{1}{10}=\frac{9}{10}\)
\(B=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)
\(B=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\)
\(B=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{7}-\frac{1}{8}=\frac{1}{2}-\frac{1}{8}=\frac{3}{8}\)
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\)
\(A=1-\frac{1}{10}=\frac{9}{10}\)
b,
\(B=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}=\frac{1}{2}-\frac{1}{3}+...+\frac{1}{7}-\frac{1}{8}\)
\(=\frac{1}{2}-\frac{1}{8}=\frac{3}{8}\)
Ai thấy mình làm đúng thì tích nha.Ai tích mình mình tích lại
Tính A = \(\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\right)-\left(\frac{1}{1.3}+\frac{1}{3.5}+...+\frac{1}{97.99}\right)+\left(-2-4-6-...-100\right)+\)\(\left(-1.2-2.3-3.4-...-99.100\right)\)
tìm phần nguyên
\(A=\left(\frac{-5}{11}\right).\frac{7}{15}+\frac{11}{-5}.\frac{30}{33}\)
\(B=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{x.\left(x+1\right)}\)(x∈Z)
\(C=\frac{1}{3}-\frac{3}{5}+\frac{5}{7}-\frac{7}{9}+\frac{9}{11}-\frac{11}{13}+\frac{11}{13}-\frac{9}{11}+\frac{7}{9}-\frac{5}{7}+\frac{3}{5}-\frac{1}{3}\)
\(D=\frac{1}{3}-\left[\left(-\frac{5}{4}\right)-\left(\frac{1}{4}+\frac{3}{8}\right)\right]\)
giúp mk nhé, mk tk, mk thanks nhiều
\(A=\left(-\frac{5}{11}\right).\frac{7}{15}+\frac{11}{-5}.\frac{30}{33}\)
\(A=-\frac{7}{33}+-2\)
\(A=-\frac{73}{33}\)
[ A] = -2
\(D=\frac{1}{3}-\left[\left(-\frac{5}{4}\right)-\left(\frac{1}{4}+\frac{3}{8}\right)\right]\)
\(D=\frac{1}{3}-\left[\left(-\frac{5}{4}\right)-\frac{5}{8}\right]\)
\(D=\frac{1}{3}-\left(-\frac{15}{8}\right)\)
\(D=\frac{53}{24}\)
\(\left[D\right]=2\)
Giair giúp mik nha,cảm ơn các bạn nhìu.
Tính giá trị của các biểu thức sau:
\(C=\left(1+\frac{2}{3}\right).\left(1+\frac{2}{5}\right).\left(1+\frac{2}{7}\right)........\left(1+\frac{2}{2013}\right).\left(1+\frac{2}{2015}\right)\)
\(N=\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.2^{28}3^{19}-7.2^{29}.3^{18}}\)
tính A=\(\frac{2.1+1}{\left(1.2\right)^2}\)\(+\)\(\frac{2.2+1}{\left(2.3\right)^2}\)\(+\)\(\frac{2.3+1}{\left(3.4\right)^2}\)\(+\)........\(+\)\(\frac{2.99+1}{\left(99.100\right)^2}\)
giúp mk với /thanks
\(A=\frac{2^2-1^2}{\left(1.2\right)^2}+\frac{3^2-2^2}{\left(2.3\right)^2}+\frac{4^2-3^2}{\left(3.4\right)^2}+...+\frac{100^2-99^2}{\left(99.100\right)^2}\)
\(A=1-\frac{1}{2^2}+\frac{1}{2^2}-\frac{1}{3^2}+\frac{1}{3^2}-\frac{1}{4^2}+...+\frac{1}{99^2}-\frac{1}{100^2}\)
\(A=1-\frac{1}{100^2}=\frac{9999}{10000}\)
GIÚP MK GIẢI MẤY NÀY NAH~ THANKS NHÌU!!!!!!!!
Bài 1.1: Rút gọn: \(\left(\frac{1}{2}a+b\right)^3+\left(\frac{1}{2}a-b\right)^3.\)
bài 1.2: tìm x biết : x3 - 3x2 + 3x - 1 = 0
1.2
<=> x3 - 3x2+ 3x -1 <=> (x-1)3
=> x= 1
bài 1.2 làm như sau:
x3 - 3x2+3x-1=0
x3-3x2.1+3x.12-13=0
áp dụng HĐT số 5 trong sách ta có
(x-1)3=0
=> x-1=0
x=1
Bài 1 , 2
\(x^3-3x^2+3x-1=\left(x-1^3\right)\)
\(Suy\)\(ra\)\(:x=1\)
\(lim\left(1+\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{n\left(n+1\right)}\right)=?\)
cần gấp nhé !!!!
\(1+\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{n\left(n+1\right)}=1+\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{n}-\frac{1}{n+1}\)
\(=2-\frac{1}{n+1}\)
=> \(lim\left(1+\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{n\left(n+1\right)}\right)=lim\left(2-\frac{1}{n+1}\right)=2\)( khi n tiến tới vô cùng )