Áp dụng: \(\frac{4}{n\left(n+2\right)\left(n+4\right)}=\frac{n+4-n}{n\left(n+2\right)\left(n+4\right)}=\frac{1}{n\left(n+2\right)}-\frac{1}{\left(n+2\right)\left(n+4\right)}\)
\(\frac{B}{9}=\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+...+\frac{1}{25.27}-\frac{1}{27.29}=\frac{1}{3}-\frac{1}{27.29}
chứng minh rằng
\(B=\frac{36}{1.3.5}+\frac{36}{3.5.7}+\frac{36}{5.7.9}+...+\frac{36}{25.27.29}\)
Chứng minh rằng :
a) A=\(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{18.19.20}<\frac{1}{4}\)
b) B=\(\frac{36}{1.3.5}+\frac{36}{3.5.7}+\frac{36}{5.7.9}+...+\frac{36}{25.27.29}<3\)
\(\frac{36}{1.3.5}+\frac{36}{3.5.7}+\frac{36}{5.7.9}+... +\frac{36}{25.27.29}\)
Giúp mình bài này với nha!
1:a) Tính
\(A=\frac{36}{1.3.5}+\frac{36}{3.5.7}+\frac{36}{5.7.9}+...+\frac{36}{25.27.29}\)
b) CMR : A<3
cho A=\(\frac{36}{1.3.5}+\frac{36}{2.5.7}+\frac{36}{5.7.9}+.....+\frac{36}{25.27.29}\) chứng minh A<3
Chứng minh B=36/1.3.5+36/3.5.7+36/5.7.9+...+36/25.27.29<3
Chứng minh rằng A = \(\frac{36}{1.3.5}+\frac{36}{3.5.7}+...+\frac{36}{25.27.29}
cho C = \(\frac{36}{1.3.5}\)+\(\frac{36}{3.5.7}+\frac{36}{5.7.9}+...+\frac{36}{21.23.25}+\frac{36}{23.25.27}\)
chứng minh C<3
Chứng minh rằng: B=36/1.3.5+36/3.5.7+36/5.7.9+...+36/25.27.29<3.
