A= \(\dfrac{1}{7.15}+\dfrac{2}{285}+\dfrac{2}{437}+\dfrac{2}{51.55}\)
A= \(\dfrac{1}{105}+\dfrac{2}{285}+\dfrac{2}{437}+\dfrac{2}{2805}\)
A=\(\dfrac{9859}{451605}\)
Tính A , biết :
\(A=\dfrac{2}{11.15}+\dfrac{2}{15.19}+\dfrac{2}{19.23}+...+\dfrac{2}{51.55}\)
1.6,cho A=\(\dfrac{4}{15.19}+\dfrac{4}{19.23}+...+\dfrac{4}{399.403}\)CMR:\(\dfrac{16}{81}< A< \dfrac{16}{80}\)
Bài 1: Tính nhanh: \(\dfrac{4}{3.7}+\dfrac{4}{7.11}+\dfrac{4}{11.15}+\dfrac{4}{15.19}+\dfrac{4}{19.23}+\dfrac{4}{23.27}\)
cho A=2/11.15+2/15.19+2/19.23+....+2/51.55 B=[-5/3][11/2[1/3+1]
Cho A = \(\dfrac{1}{2014}\)+\(\dfrac{2}{2013}\)+\(\dfrac{3}{2012}\)+...+\(\dfrac{2013}{2}\)+2014
B = \(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{4}\)+...+\(\dfrac{1}{2015}\)
Tính giá trị \(\dfrac{A}{B}\)
a) Tính A = ( 1 - \(\dfrac{1}{2}\) )( 1 - \(\dfrac{1}{3}\) ) (1-\(\dfrac{1}{4}\) ) ....(1-\(\dfrac{1}{2014}\) ) (1-\(\dfrac{1}{2015}\) ) (1-\(\dfrac{1}{2016}\) )
b)Tìm x biết \(\dfrac{x-2}{12}\) + \(\dfrac{x-2}{20}\) + \(\dfrac{x-2}{30}\)+ \(\dfrac{x-2}{42}\) + \(\dfrac{x-2}{56}\) +\(\dfrac{x-2}{72}\) = \(\dfrac{16}{9}\)
CMR : \(\dfrac{2}{5}< A< \dfrac{8}{9}\)
Với \(A=\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+\dfrac{1}{5^2}+\dfrac{1}{6^2}+\dfrac{1}{7^2}+\dfrac{1}{8^2}+\dfrac{1}{9^2}\)
Tính nhanh
\(\dfrac{3}{2^2}.\dfrac{8}{3^2}.\dfrac{15}{4^2}...\dfrac{899}{30^2}\)
1.8,cho A=\(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+...+\dfrac{1}{9^2}\).CMR:\(\dfrac{2}{5}< A< \dfrac{8}{9}\)
1.9,cho A=\(\dfrac{2}{3}+\dfrac{2}{5^2}+\dfrac{2}{7^2}+...+\dfrac{2}{2007^2}.CMR:A< \dfrac{1007}{2008}\)
