3A= 1+ 1/3 + 1/3^2 + ... + 1/3^98
3A-A=1 + 1/3 + 1/3^2 + ... + 1/3^98 - 1/3 - 1/3^2 - 1/3^3 - .... - 1/3^99
2A= 1 - 1/3^99 < 1
=> A < 1/2
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3A= 1+ 1/3 + 1/3^2 + ... + 1/3^98
3A-A=1 + 1/3 + 1/3^2 + ... + 1/3^98 - 1/3 - 1/3^2 - 1/3^3 - .... - 1/3^99
2A= 1 - 1/3^99 < 1
=> A < 1/2
Chứng minh rằng:
A = 1/3 + 1/32 + 1/33 + ..........+ 1/399 < 1/2
B = 3/12x 22 + 5/22 x 32 + 7/32 x 42 +............+ 19/92 x 102 < 1
C = 1/3 + 2/32 + 3/33 + 4/34 +.........+ 100/3100 ≤ 0
So sánh
A=\(\frac{30^{31}+1}{30^{32}+1}\) và B=\(\frac{30^{32}+1}{30^{33}+1}\)
Bài 1. Rút gọn
B = 1-7+72-73+...-799
D = 1/3 - 1/32 + 1/33 - 1/34 +...- 1/360
Bài 2. So sánh
A = 1+6+62+...+69 / 1+6+62+...+68
B = 1+5+52+...+59 / 1+5+52+...+58
So sánh
A=\(\frac{30^{31}+1}{30^{32}+1}\) và B=\(\frac{30^{32}+1}{30^{33}+1}\)
Help me!Mk đg cần rất gấp ai nhanh mk tick cho
tinh A/B, biet
A=1/2*32+1/3*33+1/4*34+...+1/n*(n+30)+...+1/1973*2003
B=1/2*1974+1/3*1975+1/4*1976+...+1/n*(n+1972)+...+1/31*2003.
Chứng minh rằng: a, 1/12.22+5/22.32+5/32.42+...+5/92.102 <1 b,1/3+2/32+3/33+...+100/3100 <3/4
tính b
b=\(\frac{0,275-0,5+\frac{3}{11}}{0,625+0,5+\frac{5}{11}}:\frac{1,5+1-0,75}{2,5+\frac{5}{3}-1,25}\)
So sánh
A=\(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^9}+.....+\frac{1}{3^{33}}với\frac{1}{2}\)
1) Chứn tỏ rằng:
a) 0,(32)+0,(67)=1
b) 0,(33)x3=1
@
2) Tìm x:
0,(12):1,(6)=x:0,(3)
A = 1/(2^3) + 1/(3^3) + 1(4^3) +...+ 1/(21^3)
So sánh A với 1/(2^2)
a,2/9-5/7+20/33+8/21+5/18-6/22
b, 1/2+1/3-1/4+1/6+1/8+1/16+1/32+1/64+1/128
c,5-1/2-5/6-11/12-19/20-29/30
các bn giúp mk nha