ok,3/4=1.3/2.2
8/9=2.4/3.3
15/16=3.5/4.4
........................
99/100=9.11/10.10
=1.2.3.4.5.6.7.8.9.2.3.4.......11/2.2.3.3.4.4.....10.10
=(1.2.3.4.5.6.7.8.9/2.3.4.5.6.7.8.9.10).(3.4.5.6.7.8.9.10.11/2.3.4.5.6.7.8.9.10)
=1/10.11/2=11/20<9
chúc học tốt
Chưng tỏ
a, S= 1/2^2+1/3^2+...+1/9^2
Chứng tỏ 2/5<S<8/9
b, 1/2-1/4+1/8-1/16+1/32-1/64<1/3
c, 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16
tinh nhanh
I = 4/3 x 9/8 x 16/15 x 25/24 x .......x 100/99
-1-2-3-4-5-.......-100
-2-4-6-8-....-100
-6-9-12-15-......-99
-1+2-3+4-5+6-......-99+100
4-8+12-16+...........+196-200
Tính nhanh
a) 1+3+5+7+9+11+13+15+17+19
b) 4+8+12+16+.....+200
c) 2+4+6+8+...+98+100- (1+3+5+...+97+99)
3/4×8/9×15/16×35/36×…×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+9+10-11-12+...+197+198-198-200
Giúp giùm tớ nhé. Gấp lắm.
Nhanh=tick.
Chứng minh rằng:
a) 1/2 - 1/4 + 1/8 - 1/16 + 1/32 - 1/64 < 1/3
b) 1/3 - 2/32 + 3/33 - 4/34 + .........+ 99/399 - 100/3100 < 3/16
CÁC BẠN NHỚ GHI CÁCH GIẢI GIÚP MÌNH NHÉ
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