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Số số hạng của dãy số trên là:
(13-3):1+1=11(số hạng)
Ta nhóm 2 số vào1 nhóm ta được:
11:2=5(nhóm) dư 1 số
Ta có:
13+(-12+11)+(10-9)+(8-7)+(-6+5)+(-4+3)
=13+(-1)+1+1+(-1)+(-1)
=12
a) \(\left(4\dfrac{1}{9}+3\dfrac{1}{4}\right).2\dfrac{1}{4}+2\dfrac{3}{4}\)
\(=\left(\dfrac{37}{9}+\dfrac{13}{4}\right).\dfrac{9}{4}+\dfrac{11}{4}\)
\(=\left(\dfrac{148}{36}+\dfrac{117}{36}\right).\dfrac{9}{4}+\dfrac{11}{4}\)
\(=\left(\dfrac{148+117}{36}\right).\dfrac{9}{4}+\dfrac{11}{4}\)
\(=\dfrac{265}{36}.\dfrac{9}{4}+\dfrac{11}{4}\)
\(=\dfrac{265.9}{36.4}+\dfrac{11}{4}\)
\(=\dfrac{265.1}{4.4}+\dfrac{11}{4}\)
\(=\dfrac{265}{16}+\dfrac{11}{4}\)
\(=\dfrac{265}{16}+\dfrac{44}{16}\)
\(=\dfrac{309}{16}\)
a)=\(\frac{-2.4}{5.7}+\frac{-3.2}{5.7}+\frac{-3}{5}\)
=\(\frac{-2.4}{5.7}+\frac{-2.3}{5.7}+\frac{-3}{5}\)
=\(\frac{-2}{5}\left(\frac{4+3}{7}\right)+\frac{-3}{5}\)
=\(\frac{-2}{5}.1+\frac{-3}{5}\)
=-1
b)
a)x\(\in\){8;18} và y\(\in\){7;2}
b)x=6
c)x=-5; y=-3
d)x=7
e)x=4
Dễ vậy!
\(A=\frac{7}{10.11}+\frac{7}{11.12}+\frac{7}{12.13}+...+\frac{7}{69.70}\)
\(A=7\left(\frac{1}{10.11}+\frac{1}{11.12}+\frac{1}{12.13}+....+\frac{1}{69.70}\right)\)
\(A=7\left(\frac{1}{10}-\frac{1}{11}+\frac{1}{11}-\frac{1}{12}+....+\frac{1}{69}-\frac{1}{70}\right)\)
\(A=7\left(\frac{1}{10}-\frac{1}{70}\right)\)
\(A=7\cdot\frac{3}{35}=\frac{21}{35}\)
\(A=\frac{7}{10\cdot11}+\frac{7}{11\cdot12}+\frac{7}{12\cdot13}+...+\frac{7}{69\cdot70}\)
\(A=7\left(\frac{1}{10\cdot11}+\frac{1}{11\cdot12}+\frac{1}{12\cdot13}+...+\frac{1}{69\cdot70}\right)\)
\(A=7\left(\frac{1}{10}-\frac{1}{11}+\frac{1}{11}-\frac{1}{12}+...+\frac{1}{69}-\frac{1}{70}\right)\)
\(A=7\left(\frac{1}{10}-\frac{1}{70}\right)=7\cdot\frac{3}{35}=\frac{3}{5}\)
\(B=\frac{1}{25\cdot27}+\frac{1}{27\cdot29}+\frac{1}{29\cdot31}+...+\frac{1}{73\cdot75}\)
\(B=\frac{1}{2}\left(\frac{2}{25\cdot27}+\frac{2}{27\cdot29}+\frac{2}{29\cdot31}+...+\frac{2}{73\cdot75}\right)\)
\(B=\frac{1}{2}\left(\frac{1}{25}-\frac{1}{27}+\frac{1}{27}-\frac{1}{29}+...+\frac{1}{73}-\frac{1}{75}\right)\)
\(B=\frac{1}{2}\left(\frac{1}{25}-\frac{1}{75}\right)=\frac{1}{2}\cdot\frac{2}{75}=\frac{1}{75}\)
\(C=\frac{4}{2\cdot4}+\frac{4}{4\cdot6}+\frac{4}{6\cdot8}+...+\frac{4}{2008\cdot2010}\)
\(C=\frac{4}{2}\left(\frac{2}{2\cdot4}+\frac{2}{4\cdot6}+\frac{2}{6\cdot8}+...+\frac{2}{2008\cdot2010}\right)\)
\(C=2\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{2008}-\frac{1}{2010}\right)\)
\(C=2\left(\frac{1}{2}-\frac{1}{2010}\right)=2\cdot\frac{502}{1005}=\frac{1004}{1005}\)
25 < 3n < 250
Ta có:
33 <= 3n <= 35
=> 3 <= n <= 5
=> n = { 3;4;5}
Vậy n = 3;4;5
tk cho cj nha
\(a,\left|75\right|:\left|-5\right|=75:5=15\)
\(b,\left|2\right|.\left|-3\right|.\left|-4\right|+\left|-11\right|=2.3.4+11=35\)
\(c,\left|-11\right|+\left|-12\right|-\left|-17\right|+\left|9\right|=11+12-17+9=15\)
\(d,\left|35\right|:\left|-7\right|.\left|-2\right|+\left|17\right|=35:7.2+17=27\)
\(e,\left|25-14\right|.\left|-3\right|+\left|-7\right|=11.3+7=40\)
7.(-25).(-3)2.(-4)
=[-25.(-4)].7.9
=100.7.9
=700.9
=6300
\(\text{7.(-25).(-3)^2.(-4)}\)
\(=7.\left(-25\right).\left(-9\right).\left(-4\right)\)
\(=\left[7.\left(-9\right)\right].\left[\left(-25\right).\left(-4\right)\right]\)
\(=\left(-63\right).100\)
\(=-6300\)
Vậy..........
Học tốt!