Violympic toán 7
Các câu hỏi tương tự
Tính: \(A=1+\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3}+............+\frac{2014}{2^{2014}}+\frac{2015}{2^{2015}}\)
Cho \(A=\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2017}\); \(B=\frac{1}{2016}+\frac{2}{2015}+\frac{3}{2014}+...+\frac{2015}{2}+\frac{2016}{1}\)
Tính \(\frac{A}{B}\)
cho đa thức f(x)=\(x\left(\frac{x^{2013}}{3}-\frac{x^{2014}}{5}+\frac{x^{2015}}{7}+\frac{x^2}{2}\right)-\)\(\left(\frac{x^{2014}}{3}-\frac{x^{2015}}{5}+\frac{x^{2016}}{7}+\frac{x^2}{2}\right)\).chứng minh đa thức f(x) nhận giá trị nguyên với mọi giá trị x nguyên
So sánh : \(\frac{2^{2015}+1}{2^{2012}+1}=\frac{2^{2017}+1}{2^{2014}+1}\)
Tìm x: \(\frac{x+4}{2013}+\frac{x+3}{2014}=\frac{x+2}{2015}+\frac{x+1}{2016}\)
\(\frac{2^{2015}+1}{2^{2012}+1}và\frac{2^{2017}+1}{2^{2014}+1}\)
SO SÁNH
Cho Afrac{1}{2}+frac{1}{3}+frac{1}{4}+...+frac{1}{2017}
Bfrac{1}{2016}+frac{2}{2015}+frac{3}{2014}+...+frac{2015}{2}+frac{2016}{1}
Tínhfrac{A}{B}
Đọc tiếp
Cho A=\(\frac{1}{2}\)+\(\frac{1}{3}\)+\(\frac{1}{4}\)+...+\(\frac{1}{2017}\)
B=\(\frac{1}{2016}\)+\(\frac{2}{2015}\)+\(\frac{3}{2014}\)+...+\(\frac{2015}{2}\)+\(\frac{2016}{1}\)
Tính\(\frac{A}{B}\)
Cho 2 biểu thức:
\(P\left(x\right)=1+x+2x^2+3x^3+...........+2014x^{2014}+2015x^{2015}\)
\(Q\left(x\right)=x^{2015}+x^{2014}+x^{2013}+............+x^2+x+1\)
a) So sánh \(P\left(\frac{1}{2}\right)\) với 3
Bài 1: Tìm x biết: \(\frac{x+5}{2014}+\frac{x+4}{2015}=\frac{x+3}{2016}+\frac{x+2}{2017}\)
Bài 2: Tìm cặp số nguyên (x;y) thoả mãn: \(\left|5x\right|+\left|2y+3\right|=7\)