1) A = 1/1.3 + 1/2.4 + 1/3.5 + ... + 1/7.9 + 1/8.10
2) Chứng minh:
3/1^2.2^2 + 5/2^2.3^2 + 5/3^2.4^2 + ... + 19/9^2.10^2 < 1
Help me, please!!!!!!!!!!!
Bạn nào biết đề khảo sát chất lượng đầu năm lớp 7 thì cho mình nha!
chứng minh rằng:1/1.3 + 1/2.4 + 1/3.5 + 1/4.6 +....+ 1/97.99 + 1/98.100 < 3/4
chứng minh rằng 1^1.3 + 1^2.4 + 1^3.5 + 1^4.6 +...+ 1^97.99+ 1^98.100 < 3^4
1.chứng minh rằng : s = 1/4+1/16+1/36+....+1/100<1/2
2.tính :s = 1.3 +2.4+3.5 +4.6+.....+2016.2018
\(Tìm.x:\)
\(2x-\left(1+\dfrac{1}{1.3}\right).\left(1+\dfrac{1}{2.4}\right).\left(1+\dfrac{1}{3.5}\right)...\left(1+\dfrac{1}{2019+2021}\right)=x+1\)
ét o ét .-.
A= 1+2+2^2+...+2^2018
B= 3+3^2+3^3+...+3^2017
C= 1+5^2+5^4+...+5^2018
D= 1.3+2.4+3.5+...+99.101
\(\left(1+\dfrac{1}{1.3}\right)\left(1+\dfrac{1}{2.4}\right)\left(1+\dfrac{1}{3.5}\right)...\left(1 +\dfrac{1}{2019+2021}\right)\)
ét o ét, cả cách làm nx ặ ;-;
Chứng tỏ :
a, A = \(\dfrac{1}{2.4}+\dfrac{1}{4.6}+...+\dfrac{1}{2022.2024}\) < \(\dfrac{1}{4}\)
b, B =\(\dfrac{1}{1.3}+\dfrac{1}{3.5}+...+\dfrac{1}{2013.2015}< \dfrac{1}{2}\)
c, C =\(\dfrac{1}{3^2}+\dfrac{1}{5^2}+\dfrac{1}{7^2}+...+\dfrac{1}{2013^2}< \dfrac{1}{4}\)
d, D =\(\dfrac{1}{2^2}+\dfrac{1}{4^2}+\dfrac{1}{6^2}+...+\dfrac{1}{2014^2}< \dfrac{1}{2}\)
Chứng minh rằng: \(\frac{1}{1.3}+\frac{1}{2.4}+\frac{1}{3.5}+\frac{1}{4.6}+...+\frac{1}{97.99}+\frac{1}{98.100}< \frac{3}{4}\)