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\(A=\left(\dfrac{1}{49}-\dfrac{1}{2^2}\right)\left(\dfrac{1}{49}-\dfrac{1}{3^2}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{100^2}\right)\)
\(=\left(\dfrac{1}{49}-\dfrac{1}{7^2}\right)\left(\dfrac{1}{49}-\dfrac{1}{2^2}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{100^2}\right)\)
\(=\left(\dfrac{1}{49}-\dfrac{1}{49}\right)\left(\dfrac{1}{49}-\dfrac{1}{4}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{10000}\right)\)
=0
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\(\frac{6}{1.3}+\frac{6}{3.5}+\frac{6}{5.7}+...+\frac{6}{49.51}\)
\(=3\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{49.51}\right)\)
\(=3\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{49}-\frac{1}{51}\right)\)
\(=3\left(1-\frac{1}{51}\right)\)
\(=3.\frac{50}{51}\)
Chúc bn hok tốt
\(\frac{6}{1\cdot3}+\frac{6}{3\cdot5}+\frac{6}{5\cdot7}+...+\frac{6}{49\cdot51}\)
\(=3\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+...+\frac{2}{49\cdot51}\right)\)
\(=3\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{49}-\frac{1}{51}\right)\)
\(=3\left(1-\frac{1}{51}\right)\)
\(=3\cdot\frac{50}{51}\)
\(=\frac{50}{17}\)
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876,98+(875,876):775-6=872,1101
6778+78.87=6856,87
51+7,5-49-(-7,5)=17
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-5 + (-37 - 45 + 51) - (-37 + 51)
= -5 - 37 - 45 + 51 + 37 - 51
= - (5 + 45) - (37 - 37) + (51 - 51)
= - 50 - 0 + 0
= - 50
- (15 - 47 + 58) + (15 - 47 ) + 3
= - 15 + 47 - 58 + 15 - 47 + 3
= (-15 + 15) + (47 - 47) - (58 - 3)
= 0 + 0 - 55
= - 55
(53 - 45 - 49) - (53 + 45 - 49)
= 53 - 45 - 49 - 53 - 45 + 49
= (53 - 53) + (-49 + 49) - (45 + 45)
= 0 + 0 - 90
= - 90
13 - 15 + 49 - 13 + 15 - 48
= (13 - 13) + (-15 + 15) + (49 - 48)
= 0 + 0 + 1
= 1
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44 + 45 + 46 + 47 + 48 + 49 + 50 + 51
= \(\left[\left(51-44\right):1+1\right].\left(\frac{51+44}{2}\right)\)
= \(8.\frac{95}{2}\)
= \(380\)
Vậy 44 + 45 + 46 + 47 + 48 + 49 + 50 + 51 = 380
giúp mình đi mà!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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a, 43-121+18-x+49+11 = 37-51+28
=> -x= 14
=> x= -14 Vậy x=-14
b, 113-47-33+20=31-25-x+5
=> 53= 11-x
=>x=11-53=-42. Vậy x= -42
giải
a) ( 43-121+18) - ( X-49 -11)= 37- (51-28)
-60 - X + 60 = 37 - 23
-X = 14 => X= -14
b) 113-(47+33-20)=(31-25)-(X+5)
113 - 60 = 9 - X - 5
53 = 4 - X
53 - 4 = - X
49 = -X => X= -49
= (-71) nha
Chúc cậu học tốt:3