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\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{\frac{x\times\left(x+1\right)}{2}}=\frac{2015}{2017}\)
\(\Leftrightarrow\frac{1}{2}\)[\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{\frac{x\times\left(x+1\right)}{2}}\)]=\(\frac{1}{2}.\frac{2015}{2017}\)
\(\Leftrightarrow\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{x\times\left(x+1\right)}=\frac{2015}{4034}\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{2015}{4034}\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{n+1}=\frac{2015}{4034}\)\(\Leftrightarrow\frac{1}{x+1}=\frac{1}{2}-\frac{2015}{4034}=\frac{1}{2017}\)<=> x+1=2017<=>x=2016
1) 9 x 10 + 10 x 11 + 11 x 12 + ....+ 2015 x 2016
=9x10x11-8x9x10+10x11x12-9x10x11+...+2015x2016x2017-2014x2015x2013
=2015x2016x2017-8x9x10
=8193537360
Tâ có :
B = 2014 x 2016 + 2015
B = 2014 x 2016 + 2016 - 1
B = 2016 x ( 2014 + 1 ) - 1
B = 2016 x 2015 - 1
Vậy A = B
2015 + 2015 x 2 + 2015 x 3 + 2015 x 4 = 2015 x ( 1 + 2 + 3 + 4 )
= 2015 x 10 = 20150
\(Q=\frac{2014}{2015}\times3+\frac{2014}{2015}\times\frac{5}{6}-\frac{2014}{2015}\times\frac{10}{12}\)
\(Q=\frac{2014}{2015}\times\left(3+\frac{5}{6}-\frac{10}{12}\right)\)
\(Q=\frac{2014}{2015}\times3\)
\(Q=\frac{6042}{2015}\)
Giải:
\(B=\left(5+10+15+...+2015\right)\times\left(20142014\times2015-20152015\times2014\right)\)
\(B=\left(5+10+15+...+2015\right)\times\left(10001\times2014\times2015-10001\times2015\times2014\right)\)
\(B=\left(5+10+15+...+2015\right)\times0\)
\(B=0\)
Chúc em học tốt!
B = (5+10+15+.........+2015) x (20142014 x 2015-20152015 x 2014)
B = (5+10+15+.........+2015) x ( 2014 x 1001 x 2015 - 2015 x 1001 x 2014 ] B = (5+10+15+.........+2015) x 0B = 0 nha
2015 x 23 + 55 x 2015 + 11 x 2015 x 2
= 2015 x (23 + 55 + 11 x 2)
= 2015 x (23 + 55 + 22)
= 2015 x (78 + 22)
= 2015 x 100
= 201500
\(2015x23+55x2015+11x2015x2\)
\(=2015x\left(23+55+11x2\right)\)
\(=2015x\left(23+55+22\right)\)
\(=2015x100\)
\(=201500\)
tick cho mk lên 200 với các bạn