Tính tổng: S = \(\dfrac{27+4500+135+550.2}{2+4+6+...+14+16+18}\)
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\(S=\frac{27+4500+135+550.2}{2+4+6+...+14+16+18}\)
\(S=\frac{4527+135+1100}{\left(2+18\right).9:2}=\frac{4662+1100}{20.9:2}=\frac{5762}{90}=\frac{2881}{45}\)
\(B=\frac{27+4500+135+1100}{\frac{\left(2+18\right).9}{2}}=\frac{5762}{10.9}=\frac{2881}{45}\)
\(\frac{27+4500+135+550.2}{2+4+6+...+16+18}\)= \(\frac{27+4500+135+1100}{\left(18+2\right).\left[\left(18-2\right):2+1\right]:2}\)= \(\frac{5762}{20.19:2}\)=\(\frac{5762}{190}\)=\(\frac{2881}{95}\)
Xét tử số:
27.4500+135.550.2=27.4500+27.5.550.2=27.4500+27.5500=27.10000=270000
Xét mẫu số:
2+4+6+...+16+18
Ta thấy:dãy số này có QLC=2.
=>SSH là:(18-2):2+1=9(số)
=>Tổng là:(2+18).9:2=90.
Vậy ps cần tìm là:270000/90=3000
Cho A=3\(^1\)+3\(^2\)+...+3\(^{2006}\)
a)Rút gọn A
b)Tìm x để 2A+3=3\(^x\)
2,
a) \(315-\left(135-x\right)=215\)
\(\Rightarrow135-x=315-215\)
\(\Rightarrow135-x=100\)
\(\Rightarrow x=135-100\)
\(\Rightarrow x=35\)
b) \(x-320:32=25\cdot16\)
\(\Rightarrow x-10=5^2\cdot4^2\)
\(\Rightarrow x-10=20^2\)
\(\Rightarrow x-10=400\)
\(\Rightarrow x=410\)
c) \(3\cdot x-2018:2=23\)
\(=3\cdot x-1009=23\)
\(\Rightarrow3\cdot x=1032\)
\(\Rightarrow x=1032:3\)
\(\Rightarrow x=344\)
d) \(280-9\cdot x-x=80\)
\(\Rightarrow280-x\cdot\left(9+1\right)=80\)
\(\Rightarrow280-10\cdot x=80\)
\(\Rightarrow10\cdot x=280-80\)
\(\Rightarrow10\cdot x=200\)
\(\Rightarrow x=20\)
e) \(38\cdot x-12\cdot x-x\cdot16=40\)
\(\Rightarrow x\cdot\left(38-12-16\right)=40\)
\(\Rightarrow x\cdot10=40\)
\(\Rightarrow x=40:10\)
\(\Rightarrow x=4\)
\(S=\dfrac{27+4500+135+550.2}{2+4+6+...+14+16+18}\)
\(S=\dfrac{4527+135+1100}{\left(2+18\right).9.2}\)
\(S=\dfrac{4662+1100}{20.9.2}\)
\(S=\dfrac{5762}{90}\)
\(S=\dfrac{2881}{45}\)
`S=(27+4500+135+550.2)/(2+4+6+…+14+16+18)`
`S=(27+4500+135+1100)/((2+18)+(4+16)+…+(8+12)+10)`
`S=((27+135)+(4500+1100))/(20+20+…+20+10)` `(`Có `4` số hạng `20)`
`S=(162+5600)/(20.4+10)`
`S=5762/90`
`S=2881/45`