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The sum sum(r=0)^(n) (r+1) (""^(n)C(r))...

The sum ` sum_(r=0)^(n) (r+1) (""^(n)C_(r))^(2)` is equal to

A

`((n+2)(2n-1)!)/(n!(n-1)!)`

B

`((n+2)(2n+1)!)/(n!(n-1)!)`

C

`((n+2)(2n+1)!)/(n!(n+1)!)`

D

`((n+2)(2n-1)!)/(n!(n+1)!)`

Text Solution

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The correct Answer is:
A
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RESONANCE ENGLISH-DPP-QUESTION
  1. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  2. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  3. The sum sum(r=0)^(n) (r+1) (""^(n)C(r))^(2) is equal to

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  4. In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...

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  5. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  6. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  7. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  8. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

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  9. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

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  10. The figure shows a rectangle ABCD with a semi-circle and a circle insc...

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  11. p is a prime number and nltplt2n dot If N=^(2n)Cn , then

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  12. The continued product 2.6.10.14…..(n times) in equal to

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  13. The solution of |x^(2) + 3x|+x^(2)-2 ge 0 is

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  14. Which of the following equations have no real solutions ?

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  15. The solution set satisfying the inequality,sqrt(21-4a-a^2)/(a+1)<=1

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  16. Solve the equation: |x+1|-|x|+3|x-1|-2|x-2|=x+2

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  17. Solve the following |(x^2+2x+2)+(3x+7)|<|x^2+2x+2|+|3x+7|

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  18. |x^(2) -1|+|x^(2) - 4|le 3

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  19. Number of non-empty subsets {1,2,3,4,5,6,7,8} having exactly k element...

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  20. If the expansion in powers of x of the function 1//[(1-a x)(1-b x)] is...

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