Tinh
A=1+3+3^2+3^3+......+3^19+3^20
A=1+3+32+33+...+319+320
3.A=3.(1+3+32+33+...+319+320)
3.A=3+32+33+34+...+320+321
3.A-A=(3+32+33+34+...+320+321)-(1+3+32+33+...+319+320)
2.A=321-1
A=(321-1):2
A=1+3+3^2+3^3+......+3^19+3^20
3A= 3 . ( 1+3+3^2+3^3+......+3^19+3^20 )
3A = 3+3^2+3^3+......+3^19+3^20+3^21
3A - A = ( 3+3^2+3^3+......+3^19+3^20+3^21 )
- ( 1+3+3^2+3^3+......+3^19+3^20 )
2A = 3^21 - 1
=> A = (3^21 - 1) : 2
Cho A = 1*2+2*3+3*4+....+19*20
Tinh A *3=?
Tinh:
1/19 + 2/18 + 3/17 +...+ 18/2 + 19/1
1/2 + 1/3 + 1/4 +...+ 1/19 + 1/20
\(\frac{1}{19}+\frac{2}{18}+\frac{3}{17}+...+\frac{18}{2}+\frac{19}{1}\) = \(\left(\frac{1}{19}+1\right)+\left(\frac{2}{18}+1\right)+...+\left(\frac{18}{2}+1\right)+1\)
= \(\frac{20}{19}+\frac{20}{18}+...+\frac{20}{2}+\frac{20}{20}\)
=\(20.\left(\frac{1}{19}+\frac{1}{18}+...+\frac{1}{2}+\frac{1}{20}\right)\)
=\(20.\left(\frac{1}{20}+\frac{1}{19}+\frac{1}{18}+...+\frac{1}{2}\right)\)
Vì tử số gấp 20 lần mẫu số nên phân số này bằng 20
tinh : (1/19+2/18+3/17+...+18/2+19/1)/1/2+1/3+1/4+...+1/20
tinh gia tri bieu thuc
A=(1^2+2^2+3^2+.....+19^2+20^2).(a+b).(a+2.b).(a+3b)
voi a=3/5;b=0,2
Thuc hien phep tinh) A = \(\frac{5.2^{30}.3^{18}-4.3^{20}2^{27}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
ʇɐɥʇ ɥuɐɹ uɐq ɔɐɔ ɐl ƃunp ıɥʇ ʎɐp uǝp ɔonp ɔop uɐq ɔɐɔ ɐl ʇǝıq ɥuıɯ ƃunɥu 'ɔonp ɔop ıoɯ ıɐl ɔonƃu ʎɐox ıɐɥd ɐʌ ɔop oɥʞ ɐl ʇɐɹ ıɥʇ ʎɐu ǝɥʇ ʇǝıʌ ɐl ʇǝıq ɥuıɯ
1) tinh nhanh
a) 85.127+5.127.3
b) 1/2 + 5/6 + 11/2 +19/20 + 29/30 + 41/42 + 55/56 + 71/72 + 89/90
3) tinh gia tri bieu thuc
a) A= 2^2 + 4^2 + 6^2+ ...+ 20^2
b) B= 1^2 + 2^2 + 3^2 +...+ 10^2
a) 85 . 127 + 5 . 127 . 3
= (85 + 15) . 127
= 100 . 127
= 12700
a) 85 . 127 + 5 . 127 . 3
= (85 + 15) . 127
= 100 . 127
= 12700
b) 1/2 + 5/6 + 11/12 +19/20 + 29/30 + 41/42 + 55/56 + 71/72 + 89/90
1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
1-1/10
9/10
1 . Tinh : a , \(\left(1-\frac{1}{6}\right)\left(1-\frac{1}{10}\right)\left(1-\frac{1}{14}\right).....\left(1-\frac{1}{5050}\right)\)b,\(\frac{^{2^{19}}.\left(3^3\right)^3+3.5.\left(2^2\right)^9.\left(3^2\right)^4}{\left(2.3\right)^9.2^{10}+\left(3.2^2\right)^{10}}\)c,\(\frac{18.\frac{19}{2}.\frac{20}{3}.\frac{21}{4}.....\frac{36}{19}}{20.\frac{21}{2}.\frac{22}{3}.....\frac{36}{17}}\)giup mjk nha mjk tjk cho
4. tinh tong
1/ 1+(-2)+3+(-4)+...+19+(-20)
Ta có : 1 + (-2) + 3 + (-4) + ..... + 19 + (-20)
= [1 + (-2)] + [3 + (-4)] + ...... + [19 + (-20)]
= -1 + -1 + ..... + -1
= -1 .10
= -10
1 +( -2 ) +3 + (-4) + ... + 19 + ( -20 )
= [ 1+ (-2 ) ] + [ 3 + (-4 ) ] + ...+ [ 9 +( -20 ) ]
= (-1 ) + -1 +....+ -1
= -1 . 10
=-10