\(\frac{1}{3}-\left(\frac{1}{18}+\frac{1}{54}+\frac{1}{108}+\frac{1}{180}+\frac{1}{270}+\frac{1}{378}\right)\)

\(=\frac{1}{3}-\left(\frac{1}{3.6}+\frac{1}{6.9}+\frac{1}{9.12}+\frac{1}{12.15}+\frac{1}{15.18}+\frac{1}{18.21}\right)\)

\(=\frac{1}{3}-\left(\frac{1}{3}-\frac{1}{21}\right)\)

\(=\frac{1}{3}-\frac{1}{3}+\frac{1}{21}=\frac{1}{21}\)

Đáp án là : \(\frac{5}{21}\)

3H = 3 (1/3-1/8-1/54-1/108-1/180-1/270-1/378) 
3H+(3/8) = 3/3 - 3/(6x9) - 3/(9x12) - 3/(12x15) - 3/(15x18) - 3/(1/18x21) 
3H+(3/8) = 1 - [(1/6)-(1/9)] - [(1/9)-(1/12)] - [(1/12)-(1/15)] - [(1/15)-(1/18)] - [(1/18)-(1/21)] 
= 1 -1/6 +1/9 -1/9 +1/12 -1/12 +1/15 -1/15 +1/18 -1/18 +1/21 
3H = -(3/8) + 1 -(1/6) +(1/21) 
3H = (-63 +168 -28 +8) / 168 
3H = 85/168 
đáp số: 
H = 85/504 
gần bằng 0,17

3H = 3 (1/3-1/8-1/54-1/108-1/180-1/270-1/378) 
3H+(3/8) = 3/3 - 3/(6x9) - 3/(9x12) - 3/(12x15) - 3/(15x18) - 3/(1/18x21) 
3H+(3/8) = 1 - [(1/6)-(1/9)] - [(1/9)-(1/12)] - [(1/12)-(1/15)] - [(1/15)-(1/18)] - [(1/18)-(1/21)] 
= 1 -1/6 +1/9 -1/9 +1/12 -1/12 +1/15 -1/15 +1/18 -1/18 +1/21 
3H = -(3/8) + 1 -(1/6) +(1/21) 
3H = (-63 +168 -28 +8) / 168 
3H = 85/168 
đáp số: 
H = 85/504 
gần bằng 0,17

3H = 3 (1/3-1/8-1/54-1/108-1/180-1/270-1/378) 
3H+(3/8) = 3/3 - 3/(6x9) - 3/(9x12) - 3/(12x15) - 3/(15x18) - 3/(1/18x21) 
3H+(3/8) = 1 - [(1/6)-(1/9)] - [(1/9)-(1/12)] - [(1/12)-(1/15)] - [(1/15)-(1/18)] - [(1/18)-(1/21)] 
= 1 -1/6 +1/9 -1/9 +1/12 -1/12 +1/15 -1/15 +1/18 -1/18 +1/21 
3H = -(3/8) + 1 -(1/6) +(1/21) 
3H = (-63 +168 -28 +8) / 168 
3H = 85/168 
đáp số: 
H = 85/504 
gần bằng 0,17

 i donn't

[1-1/20] [1-1/3] ........1-1/n+1

3H = 3 (1/3-1/8-1/54-1/108-1/180-1/270-1/378) 
3H+(3/8) = 3/3 - 3/(6x9) - 3/(9x12) - 3/(12x15) - 3/(15x18) - 3/(1/18x21) 
3H+(3/8) = 1 - [(1/6)-(1/9)] - [(1/9)-(1/12)] - [(1/12)-(1/15)] - [(1/15)-(1/18)] - [(1/18)-(1/21)] 
= 1 -1/6 +1/9 -1/9 +1/12 -1/12 +1/15 -1/15 +1/18 -1/18 +1/21 
3H = -(3/8) + 1 -(1/6) +(1/21) 
3H = (-63 +168 -28 +8) / 168 
3H = 85/168 
đáp số: 
H = 85/504 
gần bằng 0,17

B= 85/504

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