3+5-7-9+11+13-15-17+19...+2013-2015-2017+2019+2020
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18 tháng 2 2023 lúc 11:49
Tính hợp lý:
A= 21.\(10^2\)-11.100+90.\(10^2\)+\(2^2\).\(5^2\).125.16
B= \(\dfrac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
C= 3+5-7-9+11+13 -13-17+19+...+2013-2015-2017+2019+2020
a: \(A=21\cdot100-11\cdot100+90\cdot100+100\cdot125\cdot16\)
\(=100\left(21-11+90\right)+100\cdot2000\)
\(=100\left(10+90+2000\right)=2100\cdot100=210000\)
b: \(=\dfrac{5\cdot2^{30}\cdot3^{18}-2^{29}\cdot3^{20}}{5\cdot2^{28}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{2^{29}\cdot3^{18}\left(5\cdot2-3^2\right)}{2^{28}\cdot3^{18}\left(5\cdot3-7\cdot2\right)}=2\)
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1+2-3-4-5+6+7-8-9-10+11+12-13-14-15+...+2011+2012-2013-2014-2015+2016+2017-2018-2019-2020 giup mik v
Lời giải:
$A=(1+2-3-4-5)+(6+7-8-9-10)+(11+12-13-14-15)+....+(2011+2012-2013-2014-2015)+(2016+2017-2018-2019-2020)$
$=(-9)+(-14)+(-19)+....+(-2019)+(-2024)$
$=-(9+14+19+...+2019+2024)$
Số số hạng: $(2024-9):5+1=404$
$A=-(2024+9).404:2=-410666$
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1 + 3 - 5 - 7 + 9 + 11 - 13 - 15 + ... + 2013 + 2015 - 2017 - 2019
1 + 3 - 5 - 7 + 9 + 11 - 13 - 15 + ... + 2013 + 2015 - 2017 - 2019
= (1 + 3 - 5 - 7) + (9 + 11 - 13 - 15) + ........ + (2013 + 2015 - 2017 - 2019)
= (- 8) + (- 8) + ......... + (- 8) có 275 số -8
= (- 8). 275
= -2200
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1 + 3 - 5 - 7+ 9 + 11 - 13 - 15 + ... + 2013 + 2015 - 2017 - 2019
1 + 3 - 5 - 7 + 9 + 11 - 13 - 15 + ... + 2013 + 2015 - 2017 - 2019
1+3-5-7+9+11-13-15+...+2013+2015-2017-2019
=(1+3-5-7)+(9+11-13-15)+...+(2013+2015-2017-2019)
=(-8)+(-8)+...+(-8)
=(-8)x252,5
=-2020
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TÍnh :
1 + 3 - 5 - 7 + 9 + 11 - 13 - 15 + ... + 2013 + 2015 - 2017 - 2019
A = 1 - 3 - 5 + 7 + 9 - 11 - 13 + ... - 2013 + 2015 + 2017 ( có 1009 số ; 1009 : 4 dư 1)
A = (1 - 3 - 5 + 7) + (9 - 11 - 13 + 15) + ... + (2009 - 2011 - 2013 + 2015) + 2017
A = 0 + 0 + ... + 0 + 2017
A = 2017
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Tính tổng đại số sau:
a)A=6-13-14+15+16-17-18+19+20-...-2021-2022+2023+2024
b)B=7-9-10+11+12-13-14+15+16-...-2017-2018+2019+2020
a) A=6 -13 +(-14+15+16-17)+(-18+19+20-21)+...+(-2018+2019+2020-2021)+(-2022+2023+2024-2025) +2025
A=-7 +0 +0 +...+0+0 +2025= 2018
B) 7-9+(-10+11+12-13)+(-14+15+16-17)+...+(-2018+2019+2020-2021)+2021
B= -2+0+0+...+0+2021=2019
#Có gì không hiểu thì hỏi nha#
Tính tổng đại số sau:
a)A=6-13-14+15+16-17-18+19+20-...-2021-2022+2023+2024
b)B=7-9-10+11+12-13-14+15+16-...-2017-2018+2019+2020
T^T
a) A=6 -13 +(-14+15+16-17)+(-18+19+20-21)+...+(-2018+2019+2020-2021)+(-2022+2023+2024-2025) +2025
A=-7 +0 +0 +...+0+0 +2025= 2018
B) 7-9+(-10+11+12-13)+(-14+15+16-17)+...+(-2018+2019+2020-2021)+2021
B= -2+0+0+...+0+2021=2019
#Có gì không hiểu thì hỏi nha#
1)2*17*9+18*540+29*18
2)5*{26-[3*(5+2*5)+15]/15}
3)(2018*2019+2019*2020)*(45*120-15*360)*(1+5+9+13+17+...+2015+2019)
1) 2*17*9+18*540+29*18
= 18*17+18*540+29*18
= 18*(17+540+29)
= 18*586
= 10548
2) 5*{26-[3*(5+2*5)+15]/15}
= 5*{26-[3*(5+10)+15]/15}
= 5*{26-[3*15+15]/15}
= 5*{26-[45+15]/15}
= 5*{26-60/15}
= 5*{26-4}
=5*22
=110
3) (2018*2019+2019*2020)*(45*120-15*360)*(1+5+9+13+17+...+2015+2019)
= (2018*2019+2019*2020)*(15*3*120-15*120*3)*(1+5+9+13+17+...+2015+2019)
= (2018*2019+2019*2020)*0*(1+5+9+13+17+...+2015+2019)
= 0
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