(19+1)+(18+2)+(17+3)+(16+4)+(15+5)=??????
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1+2+3+4+5+...+15+16+17+18+19+20
= ( 1 + 19 ) + ( 2 + 18 ) + ( 3 + 17 ) + ( 4 + 16 ) + ( 5 + 15 ) + ... + ( 9 + 11 ) + ( 10 + 20 )
= 20 + 20 + 20 + 20 + ... + 20 + 30
= 180 + 30 = 210
Tính số phần tử: \(\text{1+2+3+4+...+18+19+20}\)
\(=\left(20-1\right):1+1\) \(=20\)
Tổng : \(\dfrac{\left(20+1\right)\times20}{2}=210\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1 + 2 + 3 +4 + 5 + 19 +18 +17 +16 +15
=[1+19]+[18+2]+[17+3]+[116+4]+[15+5]
=20+20+20+20+20
=100
![](https://rs.olm.vn/images/avt/0.png?1311)
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(21-20)-(19-18)+(17-16)-(15-14)+...+(5-4)-(3-2)+1=1-1+1-1+...+1-1+1=(1-1)+(1-1)+...+(1-1)+1( có 10 cặp nhóm)
=0+0+...+0+0+1=1.
Giải:
\(21-20-19+18+17-16-15+14+...+5-4-3+2+1\)
\(=\left(21-20-19+18\right)+\left(17-16-15+14\right)+...+\left(5-4-3+2\right)+1\)
\(=0+0+...+0+1=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
15 - 5 = 10 11 - 1 = 10 16 - 3 = 13
12 - 2 = 10 18 - 8 = 10 14 - 4 = 10
13 - 2 = 11 17 - 4 = 13 19 - 9 = 10
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1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
1+2+3+4+5+6+7+8+9+10+11+12+13+14 +15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30-50-53=362
![](https://rs.olm.vn/images/avt/0.png?1311)
(19 + 1) + (18 + 2) + (17 + 3) + (16 + 4) + (15 + 5)
= 20 + 20 + 20 + 20 + 20
= 20 x 5 = 100
=20+20+20+20+20
=20x5
=100