B=1/3+1/3^2+1/3^3+1/3^4)*3^5+(1/3^5+1/3^6+1/3^7+1/3^8)*3^9+.....+(1/3^97+1/3^98+1/3^99+1/3^100)*3^101
C=(1/4-1)*(1/9-1)*(1/16-1)*..........*(1/81-1)*(1/100-1)
D=(1/2-1)(1/2+1)(1/2^2+1)(1/2^4+1)(1/2^8+1)(1/2^16+1)
Bạn nào làm đúng cả 3 câu này mình tick cho 3 cái
Chứng minh rằng:
a,A=1/2+1/2^2+1/2^3+.+1/2^2<1
b,B=1/3+1/3^2+1/3^3+...+1/3^n<1/2
c,B=1/2-1/2^2+1/2^3-1/2^4+...+1/2^2015-1/2^2016<1/3
d,D=1/3+2/3^2+3/3^3+4/3^4+...+100/3^100<3/4
1,Tính nhanh
A=1/3+1/3^2+1/3^3+...+1/3^2007+1/3^2008
B=1/3+1/3^2+1/3^3+...+1/3^n-1+1/3^n ; n∈N*
2,Tính tổng
a,S=1/1.2.3+1/2.3.4+1/3.4.5+..+1/2006.2007.2008
b,S=1/1.2.3+1/2.3.4+1/3.4.5+..+1/n.(n+1).(n+2); n∈N*
chứng minh rằng: 1-1/3+1/3^2-1/3^3+1/3^4-1/3^5+...+1/3^98-1/3^99 < 3/4
Tính : \(K=\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}\right).3^5+\left(\frac{1}{3^5}+\frac{1}{3^6}+\frac{1}{3^7}+\frac{1}{3^8}.3^9\right)+...+\left(\frac{1}{3^{97}}+\frac{1}{3^{98}}+\frac{1}{3^{99}}+\frac{1}{3^{100}}\right).3^{101}\)
-1/3+1/3^2-1/3^3+1/3^4-.....+1/3^100-1/3^101
1/3 + 1/3^2 + 1/3^3 + 1/3^4 +...+ 1/3^99 + 1/3^100voi 1/2
-1/3+1/3^2-1/3^3+1/3^4-.…...+1/3^100+1/3^101 Chứng minh rằng:A=1/2+1/3+1/4+..+1/16 không phải số tự nhiên(chứng minh 0
Tính : E = -1/3+1/3^2-1/3^3+1/3^4-...+1/3^50-1/3^51
tính tổng N= 1+1/3+1/3^2+1/3^3+1/3^3+.....+1/3^100+1/2.3^100