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The value of C(0)+3C(1)+5C(2)+7C(3)+….+(...

The value of `C_(0)+3C_(1)+5C_(2)+7C_(3)+….+(2n+1)C_(n)` is equal to :

A

`""^(2n -1)C_(n-1)`

B

`(2n +1)""^(2n-1)C_(n)`

C

`2(n+1)*""^(2n-1)C_(n-1)`

D

`""^(2n-1)C_(n)+(2n+1)""^(2n-1)C_(n-1)`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Chapter Test
  1. If the coefficients of (p+1)th and (P+3)th terms in the expansion of (...

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  2. about to only mathematics

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  3. The value of C(0)+3C(1)+5C(2)+7C(3)+….+(2n+1)C(n) is equal to :

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  4. Find the following sum : (1)/(n!) + (1)/(2!(n-2)!) + (1)/(4!(n-4)!)+...

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  5. The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x...

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  6. If (1 + x - 2 x^(2))^(6) = 1 + C(1) x + C(2) x^(2) + C(3) x^(3) + …+ C...

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  7. Find the ratio of the coefficient of x^(15) to the term independent of...

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  8. Find the number of terms in the expansion of (x+y+z)^(n).

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  9. In the expansion of (1+x)^30 the sum of the coefficients of odd powers...

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  10. In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,

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  11. The term independent ofx in the expansion of (1+x)^10*(1+1/x)^10 is

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  12. In the expansion of (x^(3) - (1)/(x^(2)))^(15) , the constant term,i...

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

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  14. The total number of terms which are dependent on the value of x in the...

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  15. The coefficient of x^6 in {(1+x)^6+(1+x)^7+........+(1+x)^(15)} is

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  16. The number of real negative terms in the binomial expansion of (1+i x)...

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  17. Find the number of terms in the expansion of (x+sqrt(x^2-1))^6+(x-sqr...

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  18. If the last tem in the binomial expansion of (2^(1/3)-1/(sqrt(2)))^n i...

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  19. The coefficient of x^(6) a^(-2) in the expansion of ((x^(2))/(a)-(a)/...

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  20. If in the expansion of (1 + ax)^(n),n in N, the coefficient of x an...

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