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ta thay day so tren la day so tu nhien lien tiep bat dau tu 1 va ket thuc la 100 nen co 100 so hang
tong la (100+1) x 100 :2=5050
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1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + ... + 301 + 302 (có 302 số; 302 chia 4 dư 2)
= 1 + (2 - 3 - 4 + 5) + (6 - 7 - 8 + 9) + ... + (288 - 299 - 300 + 301) + 302
= 1 + 0 + 0 + ... + 0 + 302
= 1 + 302
= 303
1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + ....... +301 + 302 ( có 302 số : 302 chia 4 dư 2 )
= 1 + ( 2 - 3 - 4 + 5 ) + ( 6 - 7 - 8 + 9 ) + ..... + ( 288 - 299 -300 + 301 ) + 302
= 1 + 0 + 0 + ......... + 0 + 302
= 1 + 302
= 303
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(15x1-15) x) (10+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20)
= (15-15) x (10+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20)
= 0 x (10+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20)
= 0
= (15 - 15)\(\times\)(10 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20)
= 0\(\times\)(10 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20)
= 0
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(1+19)+(2+18)+(3+17)+(4+16)+(5+15)+(6+14)+(7+13)+(8+12)+(9+11)+20
=20+20+20+20+20+20+20+20+20+20
=20x10
=200
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=(10 + 20) + (11 + 19) + (12 + 18) + (13 + 17) + (14 + 16) +15
= 30 + 30 + 30 + 30 + 30 + 15
=165
10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20
= (10 + 20) + (11 + 19) + (12 + 18) + (13 + 17) + (14 + 16) + 15
= 30 + 30 + 30 + 30 + 30 + 15
= 30 x 5 + 15
= 150 + 15
= 165
k cho mk nha bn !
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Công thức tính tổng: ( số đầu + số cuối) x ( số cuối - số đầu + 1) : 2
Bạn tự thay các số vào mà tính.
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1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19
=(1+19)+(2+18)+(3+17)+(4+16)+(5+15)+(6+14)+(7+13)+(8+12)+(9+11)+10
=20+20+20+20+20+20+20+20+20+10
=20×9+10
=180+10
=190
Ta có: \(\dfrac{1}{11}>\dfrac{1}{20};\dfrac{1}{12}>\dfrac{1}{20};\dfrac{1}{13}>\dfrac{1}{20};...;\dfrac{1}{19}>\dfrac{1}{20}\)
\(\Rightarrow\dfrac{1}{11}+\dfrac{1}{12}+\dfrac{1}{13}+...+\dfrac{1}{19}+\dfrac{1}{20}>\dfrac{1}{20}+\dfrac{1}{20}+\dfrac{1}{20}+...+\dfrac{1}{20}+\dfrac{1}{20}\)
\(\Rightarrow\dfrac{1}{11}+\dfrac{1}{12}+\dfrac{1}{13}+...+\dfrac{1}{19}+\dfrac{1}{20}>\dfrac{10}{20}\)
=> \(S>\dfrac{1}{2}\)
\(\dfrac{1}{11}>\dfrac{1}{20};\dfrac{1}{12}>\dfrac{1}{20};\dfrac{1}{13}>\dfrac{1}{20};...;\dfrac{1}{19}>\dfrac{1}{20}\\ =>S>\dfrac{1}{20}+\dfrac{1}{20}+\dfrac{1}{20}+...+\dfrac{1}{20}+\dfrac{1}{20}\\ =>S>\dfrac{1}{20}\times10\\ =>S>\dfrac{1}{2}\)