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S=2+4+6+...+98+100
S=\(\frac{\left[\left(\frac{100-2}{2}+1\right).\left(100+2\right)\right]}{2}=2550\)
S=1+2+3+4+...+2016+2017
S=\(\frac{\left(2017-1+1\right).\left(2017+1\right)}{2}=2035153\)
1.Số lượng số của S= (2017-1)+1=2017 số
tổng=(2016+1).(2016:2)+2017=2 035 153
2.Số lượng số của S=(100-2):2+1=50 số
tổng=(100+2).(50:2)=2 550
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\(1)\)
\(a)(-50).37=-1850\)
\(b)(-20).(-14).25=280.25=7000\)
\(c)40.(-30).12=-1200.12=-14400\)
\(2)\)
\(a)\)
\(-40.[(-15)+30)]\)
\(=-40.15\)
\(=-600\)
\(b)\)
\(-5 . [(-27) - (-7)]\)
\(=-5 . [(-27)+7]\)
\(=-5 . (-20)\)
\(=100\)
\(c)\)
\(-10 . [(-28) + (-22) - 10]\)
\(=-10 . [-50 - 10]\)
\(=-10.(-60)\)
\(=600\)
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a. \(x:\left(-3\right)+4=-10\Leftrightarrow x:\left(-3\right)=-10-4=-14\)
\(\Leftrightarrow x=\left(-3\right)\times\left(-14\right)=42\) vậy x =42
b. \(-7+15:x=-20\Leftrightarrow15:x=-20+7=-13\Leftrightarrow x=-\frac{15}{13}\)
vậy \(x=-\frac{15}{13}\)
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a, \(3^{15}:27=3^{15}:3^3=3^{15-3}=3^{12}\)
b, \(\left(5^{29}.5^{20}\right):5^{67}=5^{29+20}:5^{67}=5^{49}:5^{67}=5^{49-67}=5^{-18}\)
c, \(\left(8^{2008}+8^{2007}\right):8^{2007}=8^{2008}:8^{2007}+8^{2007}:8^{2007}=8^{2008-2007}+8^{2007-2007}=8^1+8^0=8+1=9\)
nhớ k đúng cho mình nha ^_^
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c)
\(\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{6}\right)+....+\left(1-\frac{1}{42}\right)+\left(1-\frac{1}{56}\right)\)
\(\left(1+1+1+....+1+1\right)+\left(\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{6\times7}+\frac{1}{7\times8}\right)\)(Có 7 số 1)
\(7+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)
\(7+1-\frac{1}{8}=\frac{63}{8}\)
Gợi ý 1 bài c) còn d) e) cũng làm như vậy nhé
Chúc bạn học tốt !!!
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a, A=(1+999)+(3+997)+(5+995)+...+(499+501)=1000.250=250000
b,B=(2020+5)+(2015+10)+...+(1010+1015)=2025.202=409050
a) \(A=1+3+5+7+9+...+999\)
\(A=\frac{\left(1+999\right).\left[\left(999-1\right)\div2+1\right]}{2}\)
\(A=\frac{1000.500}{2}=250000\)
b) \(B=5+10+15+...+2015+20202\)
\(B=\left(5+10+15+...+2015\right)+20202\)
\(B=\frac{\left(2015+5\right)\left[\left(2015-5\right)\div5+1\right]}{2}+20202\)
\(B=\frac{2020.403}{2}+20202\)
\(B=407030+20202\)
\(B=427232\)
\(S=5+10+15+20+...+100\)
\(S=\dfrac{\left(100+5\right)\left(\dfrac{100-5}{5}+1\right)}{2}=1050\)