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1,2 + 2,3 + 2,4 + 2,5 + 2,6 + 2,7 + 2,8
= (1,2 + 2,8) + (2,3 + 2,7) + (2,4 + 2,6) + 2,5
= 4 + 5 + 5 + 2,5
= 4 + 10 + 2,5
= 14 + 2,5
= 16,5
ủng hộ tớ nha
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Có A= 2.1+ 2.3+2.5+........+2. 97+ 2.99
=>A=2 . (1+3+5+.....+97+99)
=>A=2 . [(1+99)+(3+97)+(5+95)+.....+(50+50)]
=>A=2 . [100+100+100+....+100] Có 25 số 100
=>A=2 . [100.25]
=>A= 2 . 2500
=>A=5000
Câu b bạn làm tương tự nha
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1 :
\(S=1.3+3.5+5.7+...+99.101=3+15+35+...9999\)
Ta thấy :
\(3=2^2-1\)
\(15=4^2-1\)
\(35=6^2-1\)
.....
\(9999=100^2-1\)
\(\Rightarrow S=2^2+4^2+...+100^2-\left(1\right).\left(\left(100-2\right):2+1\right)\)
\(\Rightarrow S=\dfrac{100.\left(100+1\right)\left(2.100+1\right)}{6}-51\)
\(\Rightarrow S=\dfrac{100.101.201}{6}-51=338299\)
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Ta có: \(B=\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}=\frac{5^2.\left(2.3\right)^{11}.\left(4^2\right)^2+\left(2.3\right)^2.\left(2^2.3\right)^6.\left(3.5\right)^2}{2.\left(2.3\right)^{12}.\left(2.5\right)^4-\left(3^4\right)^2.\left(2^6.3.5\right)^3}\)
\(\frac{5^2.2^{11}.3^{11}.2^8+2^2.3^2.2^{12}.3^6.3^2.5^2}{2.2^{12}.3^{12}.2^4.5^4-3^8.2^{18}.3^3.5^3}=\frac{5^2.2^{19}.3^{11}+2^{14}.3^{10}.5^2}{2^{17}.3^{12}.5^4-3^{11}.2^{18}.5^3}\)
\(=\frac{5^2.2^{14}.3^{10}.\left(2^5.3+1\right)}{2^{17}.3^{11}.5^3.\left(3.5-2\right)}=\frac{2^{14}.3^{10}.5^2.97}{2^{17}.3^{11}.5^3.13}=\frac{1.1.1.97}{2^3.3.5.13}=\frac{97}{1560}\)
\(B=\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}\)
\(B=\frac{5^2.2^{11}.3^{11}.2^{4^2}+2^2.3^2.2^{2^6}.3^6.3^2.5^2}{2.2^{12}.3^{12}.10^4-3^{4^2}.2^{5^3}.3^3}\)
\(B=\frac{5^2.2^{11}.2^8.3^{11}+2^2.2^{12}.3^2.3^6.3^2.5^2}{2^{13}.3^{12}.10^4-3^8.3^3.2^{15}}\)
\(B=\frac{5^2.2^{19}.3^{11}+2^{14}.3^{10}.5^2}{2^{13}.3^{12}.10^4-3^{11}.2^{15}}\)
\(B=\frac{5^2.2^{14}.3^{10}.\left(2^5.3+1\right)}{2^{13}.3^{11}.\left(3.10^4-2^2\right)}\)
\(B=\frac{5^2.2^{14}.3^{10}.97}{2^{13}.3^{11}.29996}\)
\(B=\frac{5^2.2.97}{3.29996}\)
\(B=\frac{4850}{89988}\)
\(B=\frac{2425}{44994}\)
{100-[(10-2.4)+2.6]}:2
= [100-(2+2.6)]:2
= [100-14):2
= 86 : 2
= 43
{ 100 - [ ( 10 - 2 . 4 ) + 2 . 6 ] } : 2
= { 100 - [ ( 10 - 8 ) + 2 . 6 ] } : 2
= { 100 - [ 2 + 2 . 6 ] } : 2
= { 100 - [ 2 + 12 ] } : 2
= { 100 - 14 } : 2
= 86 : 2
= 43