Lời giải:
$A=\frac{2-1}{1.2}+\frac{3-2}{2.3}+....+\frac{19-18}{18.19}+\frac{20-19}{19.20}$
$=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}$
$=1-\frac{1}{20}=\frac{19}{20}$
Lời giải:
$A=\frac{2-1}{1.2}+\frac{3-2}{2.3}+....+\frac{19-18}{18.19}+\frac{20-19}{19.20}$
$=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}$
$=1-\frac{1}{20}=\frac{19}{20}$
Tính\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{18.19}+\frac{1}{19.20}\)
tính nhanh biểu thức sau
A.1/2+1/4+1/8+1/16+1/32
B.2/1.2+2/2.3+2/3.4+......+2/18.19+2/19.20
Tính nhanh:\(\frac{2}{1.2}+\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+...+\frac{2}{19.20}\)
Tính A = \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+......+\frac{1}{99.100}=?\)
tính A=\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}\)
TÍNH
\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+........+\frac{1}{2015.2016}\)
Tính giá trị biểu thức
\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+.....1\frac{1}{49.50}\)
Tính nhanh \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\)
tính tổng :
1/2.1 + 1/2.3 + 1/3.4 + ... + 1/18.19 + 1/19.20