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a) 8.9.14+6.17.12+19.4.18=72.14=72.17=72.19
= 72(14+17+19)
= 72.50=360
b) (2+4+6 +...+2018) .(143143.137-137137.143)= (2+4+6 +...+2018) .(143.1001.137-137.1001.143)
= (2+4+6 +...+2018) .0
= 0
c) (14.29+14.71+(1+2+3+4+....+99)).(199199.198-198198.199) =(14.29+14.71+(1+2+3+4+....+99)).(199.101.198-198.101.199)
= (14.29+14.71+(1+2+3+4+....+99)).0
= 0
ko ghi lại đề bài
=> y.6912=0
y=0:6912
y=0
hc tốt
( 1/99 + 12/999 + 123/999 ) . ( 1/2 - 1/3 - 1/6 )
= ( 1/99 + 12/999 + 123/999 ) . 0
= 0 nha bn
q = (1/99+12/999+123/999)*(1/2-1/3-1/6)
= (1/99+12/999+123/999) * 0
= 0
\(Q=\left(\frac{1}{99}+\frac{12}{999}+\frac{123}{999}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\))
\(Q=\left(\frac{1}{99}+\frac{12}{999}+\frac{123}{999}\right).0=0\)
a) \(A=1.2+2.3+3.4+...+999.1000\)
\(3A=1.2.3+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+999.1000.\left(1001-998\right)\)
\(=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+999.1000.1001-998.999.1000\)
\(=999.1000.1001\)
\(A=\frac{999.1000.1001}{3}\)
b) \(B=1.3+3.5+5.7+...+999.1001\)
\(6B=1.3.6+3.5.\left(7-1\right)+5.7.\left(9-3\right)+...+999.1001.\left(1003-997\right)\)
\(=1.3.6+3.5.7-1.3.5+5.7.9-3.5.7+...+999.1001.1003-997.999.1003\)
\(=999.1001.1003+1.3\)
\(B=\frac{999.1001.1003+1.3}{6}\)
\(2A=2+1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2011}}\)
=> \(2A-A=\left(2+1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2011}}\right)-\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2012}}\right)\)
=> \(A=2-\frac{1}{2^{2012}}=\frac{2^{2013}-1}{2^{2012}}\)
\(A=1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2012}}\)
\(2A=2\left(1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2012}}\right)\)
\(2A=3+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2011}}\)
\(2A-A=A\)
\(=\left(3+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2011}}\right)-\left(1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2012}}\right)\)
\(=3+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2011}}-1-\frac{1}{2}-\frac{1}{2^2}-\frac{1}{2^3}-...-\frac{1}{2^{2012}}\)
\(=2-\frac{1}{2012^2}\)
\(B=\left(\frac{1}{99}+\frac{12}{999}+\frac{123}{9999}\right)\cdot\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
\(B=\left(\frac{1}{99}+\frac{12}{999}+\frac{123}{9999}\right)\cdot\left(\frac{6}{12}-\frac{4}{12}-\frac{2}{12}\right)\)
\(B=\left(\frac{1}{99}+\frac{12}{999}+\frac{123}{9999}\right)\cdot0=0\)
14.29+14.71+(1+2+3+...+2015)(199199.198-198198.199)
=14(29+71)+(1+2+3+...+2015)(199.1001.198-198.1001.199)
=14.100+(1+2+3+...+2015)0=1400+0=1400
14.(29+71)+(1+2+3+...999).0
14.100+(1+2+3...999).0
14000+(1+2+3+...999).0
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