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The value of sum(r=0)^(50)(-1)^r((50)Cr)...

The value of `sum_(r=0)^(50)(-1)^r((50)C_r)/(r+2)` is equal to ` a . 1/(50xx51)` b. `1/(52xx50)` c. `1/(52xx51)` d. none of these

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. The value of sum(r=1)^(15)(r2^r)/((r+2)!) is (a).((17)!-2^16)/((17)!) ...

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  2. (n+2)C0(2^(n+1))-(n+1)C1(2^(n))+(n)C2(2^(n-1))-.... is equal to

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  3. The value of sum(r=0)^(50)(-1)^r((50)Cr)/(r+2) is equal to a . 1/(50x...

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  4. In the expansion of [(1+x)//(1-x)]^2, the coefficient of x^n will be a...

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  5. Statement : The sum of coefficient in the expansion of (3^(-x//4)+3^(5...

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  6. Let n be a positive integer and k be a whole number, klt=2ndot Statem...

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  7. Statement 1: sum sum(0le ilt j le n)(i/ (.^n ci)+j/(.^ncj)) is equal t...

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  8. Statement 1: ^m Cr+^m C(r-1)(^nC1)+^mC(r-2)(^n C2)+....+^n Cr=0 , if m...

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  9. 1+(1/4)+((1*3)/(4*8))+((1*4*7)/(4*8*12))+....=

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  10. If |x|<1,then 1+n((2x)/(1+x))+(n(n+1))/(2!)((2x)/(1+x))^2+...... is eq...

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  11. Statement 1: If p is a prime number (p!=2), then [(2+sqrt(5))^p]-2^(p+...

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  12. Statement 1: The total number of dissimilar terms in the expansion of ...

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  13. Statement 1: In the expansion of (1+x)^(41)(1-x+x^2)^(40), the coeffic...

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  14. Statement 1: The coefficient of x^n in (1+x+(x^2)/(2!)+(x^3)/(3!)++(x^...

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  15. Evaluate 3C2

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  16. Evaluate 5C2

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  17. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

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  18. Find n if nP1=2

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  19. Evaluate 5P2

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  20. The value of ("^n C0)/n+("^nC1)/(n+1)+("^nC2)/(n+2)+....+("^nC n)/(2n)...

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