tính 1.2.3+3.4.5+5.6.7+........+49.50.51
Tính : a, 1.2.3 + 2.3.4 + 3.4.5 + ... + (n - 1).n.(n+1)
b, 1.2.3 + 3.4.5 + 5.6.7 + 98.99.100
549 + X = 1326
X = 1326 - 549
X = 777
X - 636 = 5618
X = 5618 + 636
X = 6254
549 ,1326 ở đâu zậy bạn !!! :/
Tính tổng E=1.2.3+3.4.5+5.6.7+...+99.100.101
=> 4E = 1.2.3.4 + 2.3.4.4 + 3.4.5.4 + .... + 99.100.101.4
=> 4E = 1.2.3.( 4 - 0 ) + 2.3.4.( 5 - 1 ) + 3.4.5.( 6 - 2 ) + .... + 99.100.101.( 102 - 98 )
=> 4E = 1.2.3.4 - 0.1.2.3 + 2.3.4.5 - 1.2.3.4 + 3.4.5.6 - 2.3.4.5 + ... + 99.100.101.102 - 98.99.100.101
=> 4E = ( 1.2.3.4 - 1.2.3.4 ) + ( 2.3.4.5 - 2.3.4.5 ) + + ... + ( 98.99.100.101 - 98.99.100.101 ) + 99.100.101.102
=> 4E = 99.100.101.102
=> E = ( 99.100.101.102 ) : 4
Tìm D, biết:
D= 1.2.3 + 2.3.4 + 3.4.5 + ... + 49.50.51
`D=1.2.3+2.3.4+3.4.5+....+49.50.51`
`=>4D=1.2.3.4+2.3.4.4+3.4.5.4+.....+49.50.51`
`=>4D=1.2.3.4+2.3.4.(5-1)+3.4.5.(6-2)+.....+49.50.51.(52-48)`
`=>4D=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+.....+49.50.51.52-48.49.50.51`
`=>4D=49.50.51.52=49.50.51.13.4`
`=>D=13.49.50.51`
Giải:
\(D=1.2.3+2.3.4+3.4.5+...+49.50.51\)
\(4D=1.2.3.4+2.3.4.\left(5-1\right)+3.4.5.\left(6-2\right)+...+49.50.51.\left(52-48\right)\)
\(4D=1.2.3.3.4+2.3.4.5-2.3.4.1+3.4.5.6-3.4.5.2+...+49.50.51.52-49.50.51.48\)
\(4D=49.50.51.52\)
\(4D=6497400\)
\(D=6497400:4\)
\(D=1624350\)
Tính nhanh:
1.2.3+2.3.4+3.4.5+4.5.6+5.6.7
Đặt A=1.2.3+2.3.4+.....+5.6.7
4A=1.2.3.4+2.3.4.(5-1)+.........+5.6.7.(8-4)
4A=1.2.3.4+2.3.4.5-1.2.3.4+........+5.6.7.8-4.5.6.7
4A=5.6.7.8
A=5.6.7.8:4
A=420
Tính A = 1.2.3 + 3.4.5 + 5.6.7 + …+ 99.99.100.
Tính giá trị của biểu thức :
a = 1.2+2.3+3.4+........+99.100
c = 1.2.3+2.3.4+3.4.5+.....+49.50.51
A = 1.2 + 2.3 + ... + 99.100
3A = 1.2.3 + 2.3.(4-1) + ... + 99.100.(101-98)
3A = 1.2.3 + 2.3.4 - 1.2.3 + ... + 99.100.101 - 98.99.100
3A = 99.100.101
3A = 999900
A = 333300
C = 1.2.3 + 2.3.4 + ... + 49.50.51
4C = 1.2.3.4 + 2.3.4.(4-1) + ... + 49.50.51.(52-48)
4c = 1.2.3.4 + 2.3.4.5 - 1.2.3.4 + ... + 49.50.51.52 - 48.49.50.51
4C = 49.50.51.52
4C = 6497400
C = 1624350
Ta có :
a=1.2+2.3+3.4+...+99.100
3a=1.2.3+2.3.3+3.4.3+...+99.100.3
3a=1.2.3+2.3.(4-1)+3.4.(5-2)+...+99.100.(101-98)
3a=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+99.100.101-98.99.100
3a=99.100.101
a=\(\frac{99.100.101}{3}\)
a=333300
Tính c làm tương tự
a = 1.2 + 2.3 + 3.4 + ... + 99.100
3a = 1.2.3 + 2.3.3 + 3.4.3 + ... + 99.100.3
3a = 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + ... + 99.100. (101 - 98)
3a = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 99.100.101 - 98.99.100
3a = 99 . 100 . 101
3a = 3 . 33 . 100 . 101
a = 33 . 100 . 101
a = 333300
Tính giá trị biểu thức A = 1.2.3 + 3.4.5 + 5.6.7 + … + 99.100.101.
- Tính giá trị biểu thức : C=1.2.3+2.3.4+3.4.5+4.5.6+5.6.7+6.7.8+7.8.9+8.9.10
Ô tô đi với vận tốc 50km/giờ vì :
100 : 2 = 50
đs : 50
1.2.3+3.4.5+5.6.7+......+17.18.19