x = 0 ; y = 503

\(a_1+a_2+a_3+..+a_{2015}=0\)\(0\)

\(\Rightarrow\left(a_1+a_2\right)+...+\left(a_1+a_{2015}\right)\)\(=\frac{\left(2015-1\right)}{2}+1=1008\)

\(\Rightarrow a_1+\left(a_1+a_2+..+a_{2015}\right)=1008\)

\(\Rightarrow a_1=1008\)

Ta có:

\(a_1+a_2+...+a_{2015}=0\)

\(\Leftrightarrow\left(a_1+a_2\right)+\left(a_3+a_4\right)+...+\left(a_{2013}+a_{2014}\right)+\left(a_{2015}+a_1\right)-a_1=0\)

\(\Leftrightarrow1+1+...+1-a_1=0\)

\(\Leftrightarrow1008-a_1=0\)

\(\Leftrightarrow a_1=1008\)

=a*111+b*111+c*111

=(a+b+c)*111

nen abc+bca+cab khong phai la so chinh phuong vi co it nhat 3 nghiem la 1; chinh no, 111

CO MINH

có hoàng lê đây

Ta có:\(\frac{5-x}{x-2}=\frac{-\left(x-2\right)+3}{x-2}=\frac{3}{x-2}-1\)\(\left(x\ge3;nguyên\right)\)

           Để B nguyên thì 3 chia hết cho x-2 hay \(x-2\inƯ\left(3\right)\)

                      Vậy Ư(3) là:[1,-1,3,-3]

Do đó ta có bảng sau:

            Vậy để B nguyên thì x=[-1;1;3;5]

Ta có:B=\(\left(x^{2007}+3x^{2006}-1\right)^{2007}\)

\(\Rightarrow\)B=\(\left(\left(-3\right)^{2007}+3\times\left(-3\right)^{2006}-1\right)^{2007}\)

B=\(\left(\left(-3\right)\times\left(-3\right)^{2006}+3\times\left(-3\right)^{2006}-1\right)^{2007}\)

B=\(\left(\left(\left(-3\right)+3\right)\times\left(-3\right)^{2006}-1\right)^{2007}\)

B=\(\left(0\times\left(-3\right)^{2006}-1\right)^{2007}\)

B=\(\left(0-1\right)^{2007}\)

B=\(\left(-1\right)^{2007}\)

B=\(\left(-1\right)\)