1/1.2+2/2.4+3/4.7+............+10/46.56
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1/1.2+2/2.4+3/4.7+...+10/46/56
=1-1/2+1/2-1/4+1/4-1/7+...+1/46-1/56
=1-1/56
=55/56
\(\Rightarrow P=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+......+\frac{1}{46}-\frac{1}{56}\)
\(\Rightarrow P=1-\frac{1}{56}\)
\(\Rightarrow P=\frac{55}{56}\)
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
\(N=\dfrac{1}{1.2}+\dfrac{2}{2.4}+\dfrac{3}{4.7}+...+\dfrac{10}{46.56}\\ N=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+...+\dfrac{1}{46}-\dfrac{1}{56}\\ N=1-\dfrac{1}{56}\\ N=\dfrac{55}{56}\)
P=\(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{46}-\frac{1}{56}\)
P=\(1-\frac{1}{56}\)
P=\(\frac{55}{56}\)
\(P=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{46}-\frac{1}{56}\)
\(P=1-\frac{1}{56}\)
\(P=\frac{55}{56}\)
1/1.2+2/2.4+3/4.7+...+10/46.56
=1-1/2+1/2-1/4+1/4-1/7+...+1/46-1/56
=1-1/56
=55/56