P = \(\frac{3}{4}+\frac{8}{9}+\frac{15}{16}+\frac{35}{36}=\frac{511}{144}\)
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(1-1/4).(1-1/9).(1-1/16).(1-1/25).(1-1/36)
G=(1-1/4)*(1-1/9)*(1-1/16)*(1-1/25)*(1-1/36)
S = 1/4 + 1/9 + 1/16 + 1/25 + 1/36 + 1/49 + 1/64 + 1/81
CMR: 2/2 < S < 8/9
tinh nhanh
K = [ 1-1/4 ] x [ 1-1/9 ] x [ 1-1/16 ] x [ 1-1/25 ] x [ 1-1/36 ]
cho A = 1/4 + 1/9 + 1/16 + 1/25 +1/36 + 1/49 + 1/64 + 1/81 . Chứng tỏ A > 2/5
tính
a; A = 3/4 * 8/9 * 15/16 * ..............* 9999/10000
b; B = {1 - 1/21 } * { 1 - 1/28 } * {1 - 1/36 } * .......................*{ 1 - 1326}
c; C = { 1 + 1/1*3 } * { 1 + 1 / 2*4 } * { 1 + 1/3*5} * ...........................* { 1+ 1/99*101}
1)Tính:
a) A=1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
b) B=(3/4)(8/9)(15/16)(24/25)(35/36)(48/49)(63/64)
c) C=1/4+1/12+1/36+1/108+1/324+1/92
Bài 1 : Tính
a, -1/14 + 2/(-7) - 3/(-2 )
b, 7/(-36) -2/9 + 5/(-4)
c, C = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64
d, D = ( 1 - 1/2 ) . ( 1 - 1/3 ) . ( 1 - 1/4 ) ..... ( 1 - 1/10 )
1 Tính nhanh
a,1\5+4\10+9\15+16\20+36\30+64\40+81\45
b,1\2+1\6+1\12+1\20+1\30+1\42+1\50+1\72+1\90