Các câu hỏi tương tự
A=1/2+2/2^2+3/2^3+...+100/2^100
B=1/3+2/3^2+3/3^2+...+100/3^100
Chứng minh rằng :
a,1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + ...... + 1/ 99 - 1/ 100 = 1 / 51 + 1/ 52 + 1/ 53 + ... + 1/ 100
b, A= 1/3 - 2/ 32 + 3/ 33 - 4/ 34 + .... + 99/ 399 - 100/ 3100 < 3/ 16
Chứng minh rằng :
a,1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + ...... + 1/ 99 - 1/ 100 = 1 / 51 + 1/ 52 + 1/ 53 + ... + 1/ 100
b, A= 1/3 - 2/ 32 + 3/ 33 - 4/ 34 + .... + 99/ 399 - 100/ 3100 < 3/ 16
Giup tui nha ... Lam on ma
A = 1 . 2 + 2 . 3 + 3 . 4 + ......... + 98 . 99 / 1 + ( 1 + 2 ) + ( 1 + 2 + 3 ) + ........... + ( 1 + 2 + 3 + ...... + 98 )
B = ( 1 / 51 . 52 ) + 1 / 52 . 53 + ...... + 1 / 100 . 101 ) : ( 1 / 1 . 2 + 1 / 2 . 3 + ........ + 1 / 99 . 100 + 1 / 100 . 101
Tính:
A=(1-1/1+2).(1-1/1+2+3).(1-1/1+2+3+4)...(1-1/1+2+3+4+...+2022)
B=1+1/2(1+2)+1/3(1+2+3)+1/100(1+2+3+...+100)
1.Chứng minh rằng a)1/2-1/4+1/8-1/16+1/32-1/64<1/3 b)1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16
Chứng tỏ
a, 1/2-1/4+1/8-1/16+1/32-1/64<1/3
b, 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16
c, 1/2.3/4.5/6...9999/10000<1/100
Tính
A= 1+1/2+1/2^2+1/2^3+.....+1/2^100
B= 1+1/3+1/3^2+1/3^3+...+1/3^100
Giúp mk vs!!!!
Bài 1:
a) Cho A = 1/2 + (1/2)^2 + (1/2)^3 +...+ (1/2)^99
Chứng minh rằng: A<1
b) Cho B = 1/3 + 2/3^2 + 3/3^3 + ... + 100/3^100
Chứng minh rằng: B<3/4
chứng minh
a) 1/3^2+2/3^3+3/3^4+...+100/3^101<1/4
b) 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16
c) 1/31+1/32+...+1/60=1/1x2+1/3x4+1/5x6+...+1/59x60
d) 1x3x5x7x...x49=26/2x27/2x28/2x...x50/2