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A -2/13+-11/26
=-4/26+-11/26
=-15/26
B 3/30+-1/5
=3/30+-6/30
=-3/30=-1/10
C -3/17+(2/3+3/17)
=( -3/17+3/17)+2/3
=2/3
D -5/7+3/4+-1/5+-2/7+1/4
=( -5/7+ -2/7)+(3/4+1/4)+ -1/5
=(-1)+1+ -1/5
=0+-1/5= -1/5
\(B=\frac{1}{1.2.3.4}+\frac{1}{2.3.4.5}+...+\frac{1}{27.28.29.30}\)
\(=\frac{1}{3}\left(\frac{1}{1.2.3}-\frac{1}{2.3.4}+\frac{1}{2.3.4}-\frac{1}{3.4.5}+....+\frac{1}{27.28.29}-\frac{1}{28.29.30}\right)\)
\(=\frac{1}{3}\left(\frac{1}{1.2.3}-\frac{1}{28.29.30}\right)\)
\(=\frac{1}{3}\left(\frac{1}{6}-\frac{1}{24360}\right)\)
\(=\frac{1}{3}.\frac{1353}{8120}=\frac{451}{8120}\)
to hoc lop 4 nen khong biet nhin chang hieu gi het tron nhe moi nguoi thong cam cho minh nhe chu to khong biet m cu bat to biet a ulatr
Lời giải:
$\frac{1}{2}+\frac{3}{21}+\frac{-2}{6}+\frac{-5}{30}$
$=\frac{1}{2}+\frac{1}{7}-\frac{1}{3}-\frac{1}{6}$
$=(\frac{1}{2}-\frac{1}{3}-\frac{1}{6})+\frac{1}{7}$
$=0+\frac{1}{7}=\frac{1}{7}$
\(C=\frac{-1}{2}+\frac{3}{21}+\frac{-2}{6}+\frac{-5}{30}\)
\(C=\frac{-1}{2}+\frac{1}{7}+\frac{-1}{2}+\frac{-1}{6}\)
\(C=\left(\frac{-1}{2}+\frac{-1}{2}\right)+\left(\frac{1}{7}+\frac{-1}{6}\right)\)
\(C=\frac{-2}{2}+\frac{-1}{42}\)
\(C=-1+\frac{-1}{42}\)
a) \(a=\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{37\cdot39}\)
\(a=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{37}-\frac{1}{39}\)
\(a=\frac{1}{3}-\frac{1}{39}\)
\(a=\frac{12}{39}\)
b) \(\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)\cdot\left(\frac{-5}{12}+\frac{1}{4}+\frac{1}{6}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)\cdot\left(\frac{-5}{12}+\frac{3}{12}+\frac{2}{12}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)\cdot\left(\frac{-2}{12}+\frac{2}{12}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)\cdot0\)
\(=0\)
a) \(A=\frac{2}{3x5}+\frac{2}{5x7}+\frac{2}{7x9}+...+\frac{2}{37x39}\)
\(A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{37}-\frac{1}{39}\)
\(A=\frac{1}{3}-\frac{1}{39}\)
\(A=\frac{4}{13}\)
b) \(\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)x\left(\frac{-5}{12}+\frac{1}{4}+\frac{1}{6}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)x0\)
\(=0\)
Ta có:
1+30=2+29=31
Có số số hạng là:
(30-1):1+1=30(số)
Có số cặp là:
30:2=15(cặp)
Vậy tổng của dãy đó là:
15x31=465
Đáp số:465
K tớ nha
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