1.Tính A=1/4+1/12+1/24....+1/20200
B=1/2+5/6+11/12+....+9899/9900
2.CMR:1/1.2+1/3.4+1/5.6+.....+1/49.50=1/26+1/27+...+1/50
cho P = 1/5^2 + 2/5^3 + 3/5^4 + ... + 10/5^11 + 11/5^12 . CMR : P < 1/16
Bài 1: CMR 3/1^2*2^2 + 5/2^2*3^2 + 7/3^2*4^2 + ....... + 19/9^2*10^2 bé hơn 1
Bài 2: CMR 1/3 + 2/3^2 Bài 1: CMR 3/1^2*2^2 + 5/2^2*3^2 + 7/3^2*4^2 + ....... + 19/9^2*10^2 bé hơn 3/4
Bài 3: Cho A= 1/1*2 + 1/3*4 + 1/5*6 + .... + 1/99*100. CMR 7/12 < A < 5/6
a) Rút gọn biểu thức sau:
A=2*2^2+3*2^3+4*2^4+5*2^5+...+100*2^100
b) Cho B=1/2-1/3+1/4-1/5+...+1/98-1/99
CMR: 0,2< B < 0,4
cmr 1\5+(1\5)^2+(1\5)^3+...+(1\5)^100<1\4
1/2+2/2.4+3/4.7+...+9899/9900
B1: CMR 1/52+2/53+3/54+.....+11/512<1/16
1, a, Tìm x;y biết:
(3x-5)100+(2y-1)200=0
b, CMR: 62n+4+3n+4+3n+2 chia hết cho 11
Giúp mk vs!!! Help me!!!
\(CMR:\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\frac{4}{5!}+................+\frac{99}{100!}<1\)