7/12 < A < 5/6. ... +1/99.100. =(1/1.2+1/3.4)+(1/5.6+...+1/99.100). =7/12+(1/5.6+...+1/99.100)>7/12(1).
A=1-1/2+1/3-1/4+1/5-1/6+...+1/99-1/100.
=(1+1/3+1/5+...+1/99)-(1/2+1/4+..+1/100) .<1/50.10+1/60.10+1/70.10+1/80.10+1/90.10=1/5+1/6+1/7+1/8+1/9<1/5+1/6+1/7.3=167/210<175/210=5/6.
cho A= 1- 1/2+1/3-1/4+1/5-1/6+.....+1/99-1/100. Chứng minh 7/12<A<5/6
Cho A =1-1\2+1\3-1\4+1\5-1\6+....+1\99-1\100. Chứng minh 7\12<A<5\6
Bài 1:
a) A= 1-2+3-4+5-6+...+99-100
b) B=1+2-3-4+5+6-7-8+9+10-11-12+...+97+98-99-100
A=1-2-3-4=5-6-7-8+9-10-11-12+...+97-98-99-100
B=1+2-3-4+5+6-7-8+....+97+98-99-100
Cho A=\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{99}-\frac{1}{100}\).Chứng tỏ \(\frac{7}{12}< A< \frac{5}{6}\)
1)Chứng minh rằng: 4n + 7/6n +1 là phân số tối giản
2) Cho A=1-1/2+1/3-1/4+...+1/99-1/100
Chứng tỏ:7/12<A<5/6
Làm ơn giải ra giúp mình nha :-)
1.Tính tổng
A=0-1+2-3+4-5+6-7+.........+2017-2018
B=1-3+5-7+9-11+....+2005-2007
C=1+2+3-4-5-6+7+8+9-10-11-12+.....+97+98+99-100-101-102
bài 1
A=1*2*3+2*3*4+3*4*5+...+99*100*101
B=1*3*5+3*5*7+...+95*97*99
C=2*4+4*6+..+98*100
D=1*2+3*4+5*6+...+99*100
E=1^2+2^2+3^2+...+100^2
G=1*3+2*4+3*5+4*6+...+99*101+100*102
H=1*2^2+2*3^2+3*4^2+...+99*100^2
I=1*2*3+3*4*5+5*6*7+7*8*9+...+98*99*100
K=1^2+3^2+5^2+...+99^2
số 2 : tính nhanh
A = 99 - 97 + 95 -93 + 91 - 89 + .......... + 7 - 5 + 3 - 1
B = 50 - 49 + 48 - 47 + 46 - 45 + ........... + 4 - 3 + 2 - 1
C = 100 + 98 + 96 + ......... + 2 - 97 - 95 - ......... - 1
D = 1 + 3 + 5 + 7 + ......... + 999
E = 1 + 11 + 21 + 31 + ......... + 991
F = 3 + 7 + 11 + 15 + ......... + 99
H = 1 + 2 + 3 - 4 - 5 - 6 + 7 + 8 + 9 - 10 - 11 - 12 + .......... + 97 + 98 + 99 - 100 -101 - 102
I = 1 - 3 + 5 5 - 7 + 9 - 11 + ... + 2004 - 2007
K = -1 + 2 - 3 + 4 - 5 + 6 - 7 +.... + 2004 - 2005
G =1 - 2 - 3 + 4 + 5 - 6 - 7 + 8 +..... + 2004 + 2005
N = 1 - 4 + 7 - 10 + ..... + 2995 - 2998
