Tran bang

Bạn đợi tí nha ! Mình đang làm !

Câu d là dấu " ) "  đúng không bạn ?

\(1+x-2+2x=3\)

\(\left(1-2\right)+\left(x+2x\right)=3\)

\(-1+3x=3\)

\(3x=3-\left(-1\right)=3+1\)

\(3x=4\)

\(x=\frac{4}{3}\)

Ta có : \(C=\frac{1}{2}+\left(-\frac{2}{3}\right)+\left(-\frac{2}{3}\right)^2+\left(-\frac{2}{3}\right)^3+......+\left(-\frac{2}{3}\right)^{2018}\)

\(\Rightarrow C=\frac{1}{2}-\left(\frac{2}{3}+\left(\frac{2}{3}\right)^2+\left(\frac{2}{3}\right)^3+.....+\left(\frac{2}{3}\right)^{2018}\right)\)

Đặt \(\Rightarrow A=\frac{2}{3}+\left(\frac{2}{3}\right)^2+\left(\frac{2}{3}\right)^3+.....+\left(\frac{2}{3}\right)^{2018}\)

\(\Rightarrow\frac{2}{3}A=\left(\frac{2}{3}\right)^2+\left(\frac{2}{3}\right)^3+\left(\frac{2}{3}\right)^4+.....+\left(\frac{2}{3}\right)^{2019}\)

\(\Rightarrow A-\frac{2}{3}A=\frac{2}{3}-\frac{2}{3}^{2019}\)

\(\Rightarrow\frac{1}{3}A=\frac{2}{3}-\left(\frac{2}{3}\right)^{2019}\)

=> A = \(\left(\frac{2}{3}-\left(\frac{2}{3}\right)^{2019}\right).3\)

=> A = 2 - \(\frac{2^{2019}}{3^{2018}}\)

A = \(\dfrac{1}{1+2}\) + \(\dfrac{1}{1+2+3}\) + ... + \(\dfrac{1}{1+2+3+...+99}\) + \(\dfrac{1}{50}\)

A = \(\dfrac{1}{\left(2+1\right).2:2}\) + \(\dfrac{1}{\left(3+1\right).3:2}\) + ... + \(\dfrac{1}{\left(99+1\right).99:2}\) + \(\dfrac{1}{50}\)

A = \(\dfrac{2}{2.3}\) + \(\dfrac{2}{3.4}\) + \(\dfrac{2}{4.5}\) + ... + \(\dfrac{2}{99.100}\) + \(\dfrac{1}{50}\)

A = 2.(\(\dfrac{1}{2.3}\) + \(\dfrac{1}{3.4}\) + \(\dfrac{1}{4.5}\) + ... + \(\dfrac{1}{99.100}\)) + \(\dfrac{1}{50}\)

A = 2.(\(\dfrac{1}{2}\) - \(\dfrac{1}{3}\) + \(\dfrac{1}{3}\) - \(\dfrac{1}{4}\)  + \(\dfrac{1}{4}-\dfrac{1}{5}\)+ \(\dfrac{1}{5}\) - \(\dfrac{1}{6}\) + ... + \(\dfrac{1}{99}\) - \(\dfrac{1}{100}\)) + \(\dfrac{1}{50}\)

A = 2.(\(\dfrac{1}{2}\) - \(\dfrac{1}{100}\)) + \(\dfrac{1}{50}\)

A = 2.(\(\dfrac{50}{100}\) - \(\dfrac{1}{100}\)) + \(\dfrac{1}{50}\)

A = 2.\(\dfrac{49}{100}\) + \(\dfrac{1}{50}\)

A = \(\dfrac{49}{50}\) + \(\dfrac{1}{50}\)

A = 1

bạn thi violympic à kết quả là -166

=(-1/2) : (-2/3) :( -3/4) :...: (-49/50) 

= -1/2 . (-3/2) . (-4/3) . ... . (-50/49)

= -1/2.(-1/2) . (-50)

= - 1/100

mik ko bik viết kiểu của bn nên khó nhìn, thông cảm nha

B=-1/3+1/3^2-.....-1/3^51

3B=-1/3^2+1/3^3-.....-1/3^52

3B-B=(-1/3^2+1/3^3-....-1/3^52)-(-1/3+1/3^2-....-1/3^51)

2B= -1/3^52-1/3

2B= -1/3^52-3^51/3^52

2B= -1-3^51/3^52

B= -3^51-1/3^52x2