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In the expansion of [(1+x)//(1-x)]^2, th...

In the expansion of `[(1+x)//(1-x)]^2,` the coefficient of `x^n` will be a.`4n` b. `4n-3` c. `4n+1` d. none of these

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  2. The value of sum(r=0)^(50)(-1)^r((50)Cr)/(r+2) is equal to a . 1/(50x...

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

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

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

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

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

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

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

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

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

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

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

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  14. Evaluate 3C2

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  15. Evaluate 5C2

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

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  17. Find n if nP1=2

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  18. Evaluate 5P2

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

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  20. The value of "^20 C0+^(20)C1+^(20)C2+^(20)C3+^(20)C4+^(20)C 12+^(20)C ...

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