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B = 2/5x7 + 3/7x10 + 4/10x14 + 7/14x21 + 9/21x30
B = 1/5 - 1/7 + 1/7 - 1/10 + 1/10 - 1/14 + 1/14 - 1/21 + 1/21 - 1/30
B = 1/5 - 1/30
B = 6/30 - 1/30
B = 5/30 = 1/6
soyeon làm sai vì nó là 2/5x7 chứ có phải là 1/5x7 đâu mà lại tách ra như thế?
b1
a) \(\dfrac{1}{5.6}+\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+\dfrac{1}{9.10}\)
\(=\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\)
\(=\dfrac{1}{5}-\dfrac{1}{10}\)
\(=\dfrac{2}{10}-\dfrac{1}{10}\)
\(=\dfrac{1}{10}\)
b) \(\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{99.100}\)
\(=\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{99}-\dfrac{1}{100}\)
\(=\dfrac{1}{1}-\dfrac{1}{100}\)
\(=\dfrac{99}{100}\)
c) \(\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+\dfrac{2}{9.11}\)
\(=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}\)
\(=\dfrac{1}{3}-\dfrac{1}{11}\)
\(=\dfrac{8}{33}\)
d) \(\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{99.101}\)
\(=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{99}-\dfrac{1}{101}\)
\(=\dfrac{1}{3}-\dfrac{1}{101}\)
\(=\dfrac{98}{303}\)
B= 2/3.5 + 2/5.7 +.....+ 2/37.39
= 1/3 - 1/5 + 1/5 - 1/7 + ...... + 1/37 - 1/39
= 1/3 - 1/39 =12/39
C = 1/4 - 1/7 + 1/7 - 1/10 + .....+ 1/73 - 1/ 76
= 1/4 - 1/76 = 18/76
B= 2/3.5 + 2/5.7 +.....+ 2/37.39
= 1/3 - 1/5 + 1/5 - 1/7 + ...... + 1/37 - 1/39
= 1/3 - 1/39 =12/39
C = 1/4 - 1/7 + 1/7 - 1/10 + .....+ 1/73 - 1/ 76
= 1/4 - 1/76 = 18/76
A=-7/21 + (1+1/3)
=-1/3 + 1 + 1/3
=(1/3 + 1/3) +1
=2/3 +1
=2/3 + 3/3
=5/3
B=2/15 + (5/9 + -6/9)
=2/15 + -1/9
=6/45 + 5/45
=11/45
C=(-1/5 + 3/12) + -3/4
=-1/5 + (1/4 + -3/4)
=-1/5 + -1/2
=2/10 + -5/10
=3/10
k cho mik nha
A= -7/21 +(1+1/3) = 1
B= 2/15 +(5/9+-6/9) = 61/45C= (-1/5+3/12)+-3/4 = -7/10
B = 2/5x7 + 3/7x10 + 4/10x14 + 7/14x21 + 9/21x30
B = 1/5 - 1/7 + 1/7 - 1/10 + 1/10 - 1/14 + 1/14 - 1/21 + 1/21 - 1/30
B = 1/5 - 1/30
B = 6/30 - 1/30
B = 5/30 = 1/6