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If the value of C(0)+2C(1)+3C(2)+ . . .+...

If the value of `C_(0)+2C_(1)+3C_(2)+ . . .+(n+1)C_(n)=576`, then n is

A

7

B

8

C

9

D

10

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The correct Answer is:
A
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The sum of the coefficients in the expansion of (1+x-3x^(2))^(3148)

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  2. The middle term in the expansion of((x-(1))/(x))^(18) is...

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  3. If the value of C(0)+2C(1)+3C(2)+ . . .+(n+1)C(n)=576, then n is

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  4. The ninth term of the expansion((3x) (-1)/(2x))^(8) is

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  5. The coefficient of x^(5) in (1+x^(2))^(5)(1+x)^(4) is

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  6. If the coefficient of the r^(th) term and the (r+1)^ (th) term is th...

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  7. The co-efficient of x^(-9) in the expansion of ((x^(2))/(2)-(2)/(x)...

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  8. Let (1+x^(2))^(2)(1+x)^(n) = sum(k=0)^(n+4) a(k) x^(k) . If a(1) , a...

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  9. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^...

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  10. The term independent of x in the expansion of (x^(2)-(1)/(x))^(6) ...

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  11. sum(r=0)^(m)( n+r )C(n)=

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  12. If (1+2 x+x^(2))^(n)=sum(r=0)^(2 n) a(r) x^(r), then a(r) =

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  13. (C(0))/(1)-(C(1))/(2)+(C(2))/(3)+.. . .+((-1)^(n))/(n+1). C(n) =

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  14. The value of C(1)+4C(2)+7C(3)+ . . .+(2n-2)C(n) is

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  15. If T, denotes the r^(th) term in the expansion of (x+(1)/(y))^(23)...

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  16. If C(0), C(2), C(4).. . are the binomial coefficients in the expansi...

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  17. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

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  18. If (1+x+x^(2))^(n) = sum(r=0)^(2 n) a(r). x^(r) then a(1)-2 a(2)+3 a...

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  19. If C(n) is the coefficient of x^(n) in the expansion of (1+x)^(n) ...

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  20. Term independent of x in (2 x^(2)+(3)/(x^(3)))^(15) is

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