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D= 1/1 - 1 /2 + 1/2 - 1/4 + 1/4 - 1/7 +...+ 1/46 - 1/56
D= 1/1 - 1/56
D= 55/56
vậy D= 55/56
P=\(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{46}-\frac{1}{56}\)
P=\(1-\frac{1}{56}\)
P=\(\frac{55}{56}\)
\(P=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{46}-\frac{1}{56}\)
\(P=1-\frac{1}{56}\)
\(P=\frac{55}{56}\)
P=1-\(\frac{1}{2}\)+\(\frac{1}{2}\)-\(\frac{1}{4}\)+...........+\(\frac{1}{46}\)-\(\frac{1}{56}\)
P=1-\(\frac{1}{56}\)
P=\(\frac{55}{56}\)
\(x+\frac{1}{1.2}+\frac{2}{2.4}+\frac{3}{4.7}+\frac{4}{7.11}+\frac{5}{11.16}=1\)
\(x+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}=1\)
\(x+1-\frac{1}{16}=1\)
\(x+\frac{15}{16}=1\)
\(x=1-\frac{15}{16}\)
\(x=\frac{1}{16}\)
N=3/5.7+3/7.9+3/9.11+..................+3/197.199
N=1/5-1/7+1/7-1/9+...........+1/197.199
N=1/5-1/199
=194/995
\(N=\dfrac{1}{1.2}+\dfrac{2}{2.4}+\dfrac{3}{4.7}+...+\dfrac{10}{46.56}\\ N=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+...+\dfrac{1}{46}-\dfrac{1}{56}\\ N=1-\dfrac{1}{56}\\ N=\dfrac{55}{56}\)
P= 1/1 -1/2 + 1/2 -1/4 + 1/4 - 1/7 +....+ 1/46 -1/56
P= 1/1 - 1/56
=> P= 55/ 56
Có \(\frac{1}{1.2}=\frac{1}{1}-\frac{1}{2}\)
\(\frac{2}{2.4}=\frac{1}{2}-\frac{1}{4}\)......................... tương tự đến \(\frac{10}{46.56}=\frac{1}{46}-\frac{1}{56}\)
suy ra P= 1-\(\frac{1}{56}\)=\(\frac{55}{56}\)