Các câu hỏi tương tự
Cho \(E=\frac{1}{3}+\frac{2}{3^2}-\frac{3}{3^3}+\frac{4}{3^4}-...+\frac{2016}{3^{2016}}-\frac{2017}{3^{2017}}\)
CMR : \(E< \frac{3}{16}\)
Cho \(E=\frac{1}{3}-\frac{2}{3^2}+\frac{3}{3^3}-\frac{4}{3^4}+...+\frac{2015}{3^{2015}}-\frac{2016}{3^{2016}}\) . Chứng minh rằng \(E< \frac{3}{16}\)
Bài cuối đề thi học kỳ 2 môn toán trường mình đó , giải đi mk tk cho.
cho E=\(\frac{1}{3}-\frac{2}{3^2}+\frac{3}{3^3}-\frac{4}{3^4}+...+\frac{2015}{3^{2015}}-\frac{2016}{3^{2016}}\).Chứng minh rằng:E <\(\frac{3}{16}\)
Cho E = \(\frac{1}{3}-\frac{2}{3^2}+\frac{3}{3^3}-...+\frac{2015}{3^{2015}}-\frac{2016}{3^{2016}}\)
Chứng minh rằng :E < \(\frac{3}{16}\)
Thuc hien phep tinh:
E=\(1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+4\right)+...+\frac{1}{2016}\left(1+2+...+2016\right)\)
E = \(\frac{1}{3}\) - \(\frac{2}{3^2}\) + \(\frac{3}{3^3}\)- \(\frac{4}{3^4}\)+ .......+ \(\frac{2015}{3^{2015}}\) - \(\frac{2016}{3^{2016}}\) . Chứng minh E < \(\frac{3}{16}\)
Cho E = \(\frac{1}{3}\) - \(\frac{2}{3^2}\) + \(\frac{3}{3^3}\)- \(\frac{4}{3^4}\) + ... + \(\frac{2015}{3^{2015}}\) - \(\frac{2016}{3^{2016}}\) . Chứng minh rằng E < \(\frac{3}{16}\)
Rút gọn:
\(\frac{2016-\frac{1}{2}-\frac{1}{3}-\frac{1}{4}-...-\frac{1}{2017}}{\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+...+\frac{2015}{2016}}\)
thực hiện tính:
E= 1+\(\frac{1}{2}\) (1+2) + \(\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+\right)+...+\frac{1}{2016}\left(1+2+...+2016\right)\)