1.2 + 2.3 + 3.4 + ........ + 90.91
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D= 1.2 + 2.3 + 3.4 + ............. + 90.91
3D = 1.2.3 + 2.3.3 + 3.4.3 + .... + 90.91.3
3D = 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + ... + 90.91.(92 - 89)
3D = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 90.91.92 - 89.90.91
3D = 90.91.92
D = 90.91.92 : 3 = 251160
3C=1.2.3+2.3.(4-1)+3.4.(5-2)+...+2014.2015.(2016-2013)
3C=2014.2015.2016
C=2014.2015.2016:3
Ta có : S = 1.2 + 2.3 + 3.4 + ..... + 32.33
=> 3S = 1.2.3 - 1.2.3 + 2.3.4 - 2.3.4 + ...... + 32.33.34
=> 3S = 32.33.34
=> S = \(\frac{32.33.34}{3}=11968\)
C=1*2+2*3+3*4+...+98*99
C=2+6+12+...+9702
C=2+9702
C=9704
vay C=9704
D=(1*99+2*99+3*99+...+99*99)-(1*2+2*3+3*4+...+98*99)
D=(99+198+297+...+9801)-(2+6+12+...+9702)
D=(99+9801)-(2+9702)
D=9900-9704
D=196
vay D=196
ai di qua dong tinh thi nho h cho minh nhe
Cho A=1/1.2 + 1/2.3 + + 1/ 3.4+...+1/49.50 ; B = 1.2+2.3+3.4+4.5+5.6+...+49.50
Tính 50 mủ 2 A – B/17
3S=1*2*3+2*3*(4-1)+...+99*100*(101-98)
=1*2*3+2*3*4-1*2*3+...+99*100*101-99*100*98
=99*100*101
=>S=33*100*101=333300
Lời giải:
$A=1.2+2.3+3.4+...+50.51$
$3A=1.2(3-0)+2.3(4-1)+3.4(5-2)+...+50.51(52-49)$
$=(1.2.3+2.3.4+3.4.5+...+50.51.52)-(0.1.2+1.2.3+2.3.4+....+49.50.51)$
$=50.51.52$
$\Rightarrow A=50.51.52:3=44200$
1.2+2.3+3.4+4.5+...+99.100
=1.2.3+2.3.3+3.4.3+4.5.3+...+99.100.3
=1.2.3+2.3.(4-1)+3.4.(5-2)+4.5.(6-3)+...+99.100.(101-98)
=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+4.5.6-3.4.5+...+99.100.101-98.99.100
=1.2.3-1.2.3+2.3.4-2.3.4+3.4.5-3.4.5+4.5.6-4.5.6+...+99.100.101
=99.100.101=999900
=999900:3=333300
A = 1.2 + 2.3 + 3.4 + ... + 90.91
3A = 1.2.3 + 2.3.3 + 3.4.3 + ... + 90.91.3
3A = 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + ... + 90.91.(92 - 89)
3A = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 90.91.92 - 89.90.91
3A = 90.91.92
A = 90.91.92 : 3 = 251160