Tính
B=\(\left(17\dfrac{3535}{88375}-16\dfrac{1001}{1365}\right).3\dfrac{6}{23}+3\dfrac{6}{23}:\left(5-1\dfrac{187}{253}\right)\)
Bài 1: TínhB= 1+2+22+23+.....+22008/ 1-22009
B=3^100-3^99-3^98-..-3-1
B=3^100-(3^99+3^98+...+3+1)
ta có:M=3^99+3^98+..+3+1
3M=3^100+3^98+...+3^2+3
2M=3M-M=3^100+3^99+3^98+...+3^2+3-3^99+3^98+...+1
2M=3^100-1
=>B=3^100-3^100+1:2
B=0+1/2
B=1/2
Tinh nhanh:
(100/3)+(100/3^2)+(100/3^3)+(100/3^4)
A=1/2+2/2^2+3/2^3+...+100/2^100
B=1/3+2/3^2+3/3^2+...+100/3^100
1/3+2/3^2+3/3^3+...+100/3^100
100 trên 3 + 100 trên 3 mũ 2 +100 trên 3 mũ 3 +100 trên 3 mũ 4
ai mhanh minh k
1/3 - 2/3^2 +3/3^3 - 4/3^4 +.......+99/3^99 - 100/3^100<3/16=?
1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16