Tính các tích sau:
A= 3/4.8/9.15/16...9999/10000
B=(1-1/4).(1-1/9)...(1-1/10000).
C=(1+1/1.3)(1+1/2.4)(1+1/3.15)....(1+1/99.100).
Những câu hỏi liên quan
24 tháng 7 2021 lúc 10:29
Tính các tích sau:
A=3/4 . 8/9 .15/16 . ..... . 9999/10000
B=(1 - 1/4)(1 - 1/9). ..... . (1 - 1/10000)
C=(1 + 1/1.3)(1 + 1/2.4)(1 + 1/3.15). ..... .(1 + 1/99.100)
A=\(\dfrac{3}{4}.\dfrac{8}{9}.....\dfrac{9999}{10000}\)
A=\(\dfrac{1.3}{2.2}.\dfrac{2.4}{3.3}.....\dfrac{99.101}{100.100}\)
A=\(\dfrac{1.2.3.....99}{2.3.4.....100}.\dfrac{3.4.....101}{2.3.4.....100}\)
A=\(\dfrac{1}{100}.\dfrac{101}{2}\)
A=\(\dfrac{101}{200}\)
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\(A=\dfrac{1.3}{2.2}.\dfrac{2.4}{3.3}.\dfrac{3.5}{4.4}.....\dfrac{99.101}{100.100}\\ =\dfrac{1}{2}.\dfrac{101}{100}=\dfrac{101}{200}\)
\(B=\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{9}\right)...\left(1-\dfrac{1}{10000}\right)\\ =\dfrac{3}{4}.\dfrac{8}{9}...\dfrac{9999}{10000}\)
(làm như câu a)
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1) Tính
A= 3/4.8/9.15/16...9999/10000
B= (1-1/4).(1-1/9)...(1-1/1000)
\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}....\frac{9999}{10000}\)
\(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{99.101}{100.100}\)
\(=\frac{1.2.3....99}{2.3.4....100}.\frac{3.4.5....101}{2.3.4...100}\)
\(=\frac{1}{100}.\frac{101}{2}=\frac{101}{200}\)
\(B=\left(1-\frac{1}{4}\right).\left(1-\frac{1}{9}\right).....\left(1-\frac{1}{10000}\right)\)
\(=\frac{3}{4}.\frac{8}{9}....\frac{9999}{10000}=\frac{101}{200}\)
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a, Tính tổng: 5/6+5/12+5/20+.......+5/132
b, Tìm x: 1/2.4+1/4.6+......+1/x(x+2)
c,Tính tổng: -1/2 . -2/3 . -3/4..........-99/100
3/4.8/9.15/16.............9999/10000
3/4.8/9.15/16......9999/10000
= 3.8.15.....9999/4.9.16......10000
=101/50
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(1/2 - 1) (1/3 - 1) ... (1/2002 - 1) ( 1/2003) = ?
3/4.8/9.15/16 ..... 9999/10000 = ?
\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right)\left(\frac{1}{4}-1\right)....\left(\frac{1}{2003}-1\right)\)
=\(\frac{-1}{2}.\frac{-2}{3}.\frac{-3}{4}.....\frac{-2002}{2003}\)
=\(\frac{1}{2003}\)
\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}....\frac{9999}{10000}\)
=\(\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{99.101}{100.100}\)
=\(\frac{\left(1.2.3.....99\right)\left(3.4.5.....101\right)}{\left(2.3.4.....100\right)\left(2.3.4.....100\right)}\)
=\(\frac{101}{100.2}\)
=\(\frac{101}{200}\)
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Tính tích:
A= (1- 1/2).(1- 1/3). (1-1/4). ... .(1- 1/999). (1- 1/1000)
B= (1- 1/7). (1-2/7). (1- 3/7). ... .(1-10/7)
C=3/4.8/9.15/16. ... .2499/2500
D=(22/1.3). (32/2.4). (42/3.5). ... .(502/49.50)
Tính nhanh:
1, A= 3/4.8/9.15/16......9999/10000
2, B = (1-1/2).(1-1/8)....(1-1/n+1)
giúp mk nha. đang cần gấp gấp lắm
thank you các bạn nhìu...
Thực hiện phép tính:
A=3/4.8/9.15/16...9999/10000
B=(1-1/3)(1-1/6)(1-1/10)(1-1/15)...(1-1/780)
Giúp mk với mk đang cần gấp
\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.....\frac{9999}{10000}\)
\(A=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{99.101}{100.100}\)
\(A=\frac{\left(1.2.3.....99\right).\left(3.4.5.....101\right)}{\left(2.3.4.....100\right).\left(2.3.4.....100\right)}\)
\(A=\frac{1.101}{2.100}=\frac{101}{200}\)
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\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}......\frac{9999}{10000}\)
\(A=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{99.101}{100.100}\)
\(A=\frac{1.2.3.4.....99}{2.3.4.5.....100}.\frac{3.4.5.6.....101}{2.3.4.5.....100}\)
\(A=\frac{1}{100}.\frac{101}{2}\)
\(A=\frac{101}{200}\)
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\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}...\frac{9999}{10000}\)
\(A=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}...\frac{99.101}{100.100}\)
\(A=\frac{1.2...99}{2.3...100}.\frac{3.5...101}{2.3...100}\)
\(A=\frac{1}{100}.\frac{101}{2}\)
\(=\frac{101}{200}\)
\(B=\left(1-\frac{1}{3}\right)\left(1-\frac{1}{6}\right)\left(1-\frac{1}{10}\right)\left(1-\frac{1}{15}\right)...\left(1-\frac{1}{780}\right)\)
\(B=\frac{2}{3}.\frac{5}{6}.\frac{9}{10}.\frac{14}{15}...\frac{779}{780}\)
\(B=\frac{4}{6}.\frac{10}{12}.\frac{18}{20}....\frac{1558}{1560}\)
\(B=\frac{1.4}{2.3}.\frac{2.5}{3.4}.\frac{3.6}{4.5}...\frac{38.41}{39.40}\)
\(B=\frac{1.2.3...38}{2.3...39}.\frac{4.5...41}{3.4...40}\)
\(B=\frac{1}{39}.\frac{41}{3}\)
\(B=\frac{41}{117}\)
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Xem thêm câu trả lời
Tính tích:
B= (1- 1/4).(1- 1/9).... (1- 1/1000)
C= 3/4 . 8/9 . 15/16 .... 99/100
D= (1+ 1/1.3) . (1+ 1/2.4) . (1+ 1/3.5).... (1+ 1/99.100)
Ai nhanh mình tích! ^_^
Tính các tích sau:
a)\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.....\frac{9999}{10000}\)
b)\(B=\left(1-\frac{1}{21}\right).\left(1-\frac{1}{28}\right).\left(1-\frac{1}{36}\right)......\left(1-\frac{1}{1326}\right)\)
c)\(C=\left(1+\frac{1}{1.3}\right).\left(1+\frac{1}{2.4}\right).\left(1+\frac{1}{3.5}\right)....\left(1+\frac{1}{99.101}\right)\)
