A=1/30+1/45+1/63+.....+6/7917
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a,(2017-2).4+2=8062
b,(2017-8).10+8=20098
còn lại tự làm nha bạn
Gọi \(A=\frac{1}{3}+\frac{1}{9}+\frac{1}{18}+\frac{1}{30}+\frac{1}{45}+\frac{1}{63}+...+\frac{1}{14950}\)
\(3A=1+\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+...+\frac{1}{4950}\)
\(\frac{1}{2}.3A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+...+\frac{1}{9900}\)
\(\frac{3}{2}A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{99.100}\)
\(\frac{3}{2}A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{99}-\frac{1}{100}\)
\(\frac{3}{2}A=1-\frac{1}{100}=\frac{99}{100}\)
\(A=\frac{99}{100}:\frac{3}{2}=\frac{99.2}{100.3}=\frac{33}{50}\)
d/ Trung bình cộng của các số đó là :
( 25 + 37 + 30 + 75 + 63 ) : 5 = 46
a/ Trung bình cộng hai số đó là :
( 35 + 45 ) : 2 = 40
\(\frac{24}{36}:\frac{8}{9}=\frac{24}{36}\cdot\frac{9}{8}=\frac{24\cdot9}{36\cdot8}=\frac{216}{288}=\frac{3}{4}\)
\(\frac{32}{45}-\frac{7}{30}=\frac{64}{90}-\frac{21}{90}=\frac{43}{90}\)
\(\frac{3}{10}+\frac{4}{7}+\frac{6}{14}+\frac{4}{20}=\frac{42}{140}+\frac{80}{140}+\frac{60}{140}+\frac{28}{140}=\frac{210}{140}=\frac{3}{2}\)
\(\frac{17}{25}\cdot\frac{11}{28}+\frac{34}{50}\cdot\frac{17}{28}=\frac{187}{700}+\frac{289}{700}=\frac{476}{700}=\frac{17}{25}\)
\(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+...+\frac{1}{11\cdot12}=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{11}-\frac{1}{12}=\frac{1}{3}-\frac{1}{12}=\frac{1}{4}\)
A = 1/2 + 1/3 + 1/6 + 1/12 + 1/15 + 1/20 + 1/30 + 1/35 + 1/42 + 1/56 + 1/63 + 1/72 + 1/99
= ( 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 ) + ( 1/3 + 1/15 + 1/35 + 1/63 + 1/99 )
= ( 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + ... + 1/8.9 ) + ( 1/1.3 + 1/3.5 + ... + 1/9.11 )
= ( 1 - 1/2 + 1/2 - 1/3 + ... + 1/8 - 1/9 ) + 1/2 . ( 2/1.3 + 2/3.5 + ... + 2/9.11 )
= ( 1 - 1/9 ) + 1/2 . ( 1 - 1/3 + 1/3 - 1.5 + ... + 1/9 - 1/11 )
= 8/9 + 1/2 . ( 1 - 1/11 )
= 8/9 + 1/2 . 10/11
= 8/9 + 5/11
= 133/99
A = 1/2 + 1/3 + 1/6 + 1/12 + 1/15 + 1/20 + 1/30 + 1/35 + 1/42 + 1/56 + 1/63 + 1/72 + 1/99
= ( 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 ) + ( 1/3 + 1/15 + 1/35 + 1/63 + 1/99 )
= ( 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + ... + 1/8.9 ) + ( 1/1.3 + 1/3.5 + ... + 1/9.11 )
= ( 1 - 1/2 + 1/2 - 1/3 + ... + 1/8 - 1/9 ) + 1/2 . ( 2/1.3 + 2/3.5 + ... + 2/9.11 )
= ( 1 - 1/9 ) + 1/2 . ( 1 - 1/3 + 1/3 - 1.5 + ... + 1/9 - 1/11 )
= 8/9 + 1/2 . ( 1 - 1/11 )
= 8/9 + 1/2 . 10/11
= 8/9 + 5/11
= 133/99
Có nhầm đề bài ko bn sao mấy cái đầu tử là 1 mà cuối lại là 6?